106111106055630 has 96 divisors (see below), whose sum is σ = 297138523578624. Its totient is φ = 26117245744128.

The previous prime is 106111106055629. The next prime is 106111106055631. The reversal of 106111106055630 is 36550601111601.

106111106055630 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 1 + 10 + 6 + 0 + 5 + 5 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (106111106055629) and next prime (106111106055631).

It is a super-2 number, since 2×106111106055630² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111106055631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8510422 + ... + 16871558.

It is an arithmetic number, because the mean of its divisors is an integer number (3095192953944).

Almost surely, 2^{106111106055630} is an apocalyptic number.

106111106055630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106111106055630 is an abundant number, since it is smaller than the sum of its proper divisors (191027417522994).

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

106111106055630 is a wasteful number, since it uses less digits than its factorization.

106111106055630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372010 (or 8372007 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 106111106055630 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-five thousand, six hundred thirty".