106114317624 has 160 divisors (see below), whose sum is σ = 350635929600. Its totient is φ = 29340325440.

The previous prime is 106114317619. The next prime is 106114317641. The reversal of 106114317624 is 426713411601.

106114317624 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 14 + 3 + 17 + 624 = 666.

It is a super-2 number, since 2×106114317624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236704 + ... + 517935.

It is an arithmetic number, because the mean of its divisors is an integer number (2191474560).

Almost surely, 2^106114317624 is an apocalyptic number.

106114317624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106114317624 is an abundant number, since it is smaller than the sum of its proper divisors (244521611976).

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

106114317624 is a wasteful number, since it uses less digits than its factorization.

106114317624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754695 (or 754682 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106114317624 in words is "one hundred six billion, one hundred fourteen million, three hundred seventeen thousand, six hundred twenty-four".