10700107100442 has 24 divisors (see below), whose sum is σ = 23749018200180. Its totient is φ = 3479709625920.

The previous prime is 10700107100429. The next prime is 10700107100467. The reversal of 10700107100442 is 24400170100701.

10700107100442 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 107 + 100 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9607018031361 + 1093089069081 = 3099519^2 + 1045509^2 .

It is a super-2 number, since 2×10700107100442² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7249394317 + ... + 7249395792.

Almost surely, 2^{10700107100442} is an apocalyptic number.

10700107100442 is an abundant number, since it is smaller than the sum of its proper divisors (13048911099738).

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

10700107100442 is a wasteful number, since it uses less digits than its factorization.

10700107100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14498790158 (or 14498790155 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10700107100442 in words is "ten trillion, seven hundred billion, one hundred seven million, one hundred thousand, four hundred forty-two".