106400960479 has 32 divisors (see below), whose sum is σ = 119474150400. Its totient is φ = 93939056640.

The previous prime is 106400960453. The next prime is 106400960483. The reversal of 106400960479 is 974069004601.

It is a de Polignac number, because none of the positive numbers 2^k-106400960479 is a prime.

It is a super-2 number, since 2×106400960479² (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 (106400460479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75514527 + ... + 75515935.

It is an arithmetic number, because the mean of its divisors is an integer number (3733567200).

Almost surely, 2^106400960479 is an apocalyptic number.

106400960479 is a deficient number, since it is larger than the sum of its proper divisors (13073189921).

106400960479 is a wasteful number, since it uses less digits than its factorization.

106400960479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 106400960479 in words is "one hundred six billion, four hundred million, nine hundred sixty thousand, four hundred seventy-nine".