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106338596 = 22713389751
BaseRepresentation
bin1100101011010…
…01100100100100
321102002120010112
412111221210210
5204210313341
614315112152
72430602030
oct625514444
9242076115
10106338596
1155030841
122b742658
1319052960
14101a11c0
159507aeb
hex6569924

106338596 has 48 divisors (see below), whose sum is σ = 229931520. Its totient is φ = 41904000.

The previous prime is 106338593. The next prime is 106338607. The reversal of 106338596 is 695833601.

It is a super-2 number, since 2×1063385962 = 22615793998502432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106338593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141221 + ... + 141971.

It is an arithmetic number, because the mean of its divisors is an integer number (4790240).

Almost surely, 2106338596 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 106338596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114965760).

106338596 is an abundant number, since it is smaller than the sum of its proper divisors (123592924).

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

106338596 is a wasteful number, since it uses less digits than its factorization.

106338596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 106338596 is about 10312.0607057949. The cubic root of 106338596 is about 473.7657277866.

The spelling of 106338596 in words is "one hundred six million, three hundred thirty-eight thousand, five hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 389 751 778 1502 1556 2723 3004 5057 5257 5446 9763 10114 10514 10892 19526 20228 21028 35399 39052 68341 70798 136682 141596 273364 292139 584278 1168556 2044973 3797807 4089946 7595614 8179892 15191228 26584649 53169298 106338596