106917014592 has 84 divisors (see below), whose sum is σ = 306598888960. Its totient is φ = 35622657792.

The previous prime is 106917014569. The next prime is 106917014597. The reversal of 106917014592 is 295410719601.

106917014592 is a `hidden beast` number, since 106 + 91 + 7 + 0 + 1 + 459 + 2 = 666.

It is a super-2 number, since 2×106917014592² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106917014597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248213 + ... + 1331115.

Almost surely, 2^106917014592 is an apocalyptic number.

106917014592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106917014592 is an abundant number, since it is smaller than the sum of its proper divisors (199681874368).

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

106917014592 is a wasteful number, since it uses less digits than its factorization.

106917014592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85160 (or 85147 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 106917014592 in words is "one hundred six billion, nine hundred seventeen million, fourteen thousand, five hundred ninety-two".