106757361024 has 64 divisors (see below), whose sum is σ = 283609747440. Its totient is φ = 35581331456.

The previous prime is 106757361017. The next prime is 106757361031. The reversal of 106757361024 is 420163757601.

It is a happy number.

106757361024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106757361017) and next prime (106757361031).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106757361024² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4755394 + ... + 4777790.

Almost surely, 2^106757361024 is an apocalyptic number.

It is an amenable number.

106757361024 is an abundant number, since it is smaller than the sum of its proper divisors (176852386416).

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

106757361024 is a wasteful number, since it uses less digits than its factorization.

106757361024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34827 (or 34815 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 106757361024 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-one thousand, twenty-four".