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106056000102 = 23132295937521
BaseRepresentation
bin110001011000101101…
…1100010001001100110
3101010202020002000121210
41202301123202021212
53214200314000402
6120415500052250
710443111061323
oct1426133421146
9333666060553
10106056000102
1140a83935668
1218679b34086
13a002384960
1451c1489b4a
152b5ac3506c
hex18b16e2266

106056000102 has 32 divisors (see below), whose sum is σ = 229425850080. Its totient is φ = 32490109440.

The previous prime is 106056000091. The next prime is 106056000109. The reversal of 106056000102 is 201000650601.

It is a happy number.

It is a super-2 number, since 2×1060560001022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950899 + ... + 2986622.

It is an arithmetic number, because the mean of its divisors is an integer number (7169557815).

Almost surely, 2106056000102 is an apocalyptic number.

106056000102 is an abundant number, since it is smaller than the sum of its proper divisors (123369849978).

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

106056000102 is a wasteful number, since it uses less digits than its factorization.

106056000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937768.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 106056000102 its reverse (201000650601), we get a palindrome (307056650703).

The spelling of 106056000102 in words is "one hundred six billion, fifty-six million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 229 458 687 1374 2977 5954 8931 17862 5937521 11875042 17812563 35625126 77187773 154375546 231563319 463126638 1359692309 2719384618 4079076927 8158153854 17676000017 35352000034 53028000051 106056000102