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106350544356 = 22374173423013
BaseRepresentation
bin110001100001011111…
…1001000010111100100
3101011111202022102101020
41203002333020113210
53220301214404411
6120505021131140
710453315466040
oct1430277102744
9334452272336
10106350544356
1141115123071
12187406b9ab0
13a04b3c23b4
14520c63d020
152b76a17606
hex18c2fc85e4

106350544356 has 96 divisors (see below), whose sum is σ = 294498962688. Its totient is φ = 29238589440.

The previous prime is 106350544337. The next prime is 106350544357. The reversal of 106350544356 is 653445053601.

It is a super-2 number, since 2×1063505443562 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106350544357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39906 + ... + 462918.

It is an arithmetic number, because the mean of its divisors is an integer number (3067697528).

Almost surely, 2106350544356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106350544356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147249481344).

106350544356 is an abundant number, since it is smaller than the sum of its proper divisors (188148418332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106350544356 is a wasteful number, since it uses less digits than its factorization.

106350544356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423141 (or 423139 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 106350544356 its reverse (653445053601), we get a palindrome (759795597957).

The spelling of 106350544356 in words is "one hundred six billion, three hundred fifty million, five hundred forty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 73 82 84 123 146 164 219 246 287 292 438 492 511 574 861 876 1022 1148 1533 1722 2044 2993 3066 3444 5986 6132 8979 11972 17958 20951 35916 41902 62853 83804 125706 251412 423013 846026 1269039 1692052 2538078 2961091 5076156 5922182 8883273 11844364 17343533 17766546 30879949 34687066 35533092 52030599 61759898 69374132 92639847 104061198 121404731 123519796 185279694 208122396 216159643 242809462 364214193 370559388 432319286 485618924 648478929 728428386 864638572 1266077909 1296957858 1456856772 2532155818 2593915716 3798233727 5064311636 7596467454 8862545363 15192934908 17725090726 26587636089 35450181452 53175272178 106350544356