10507354100 has 18 divisors (see below), whose sum is σ = 22800958614. Its totient is φ = 4202941600.

The previous prime is 10507354093. The next prime is 10507354111. The reversal of 10507354100 is 145370501.

It can be written as a sum of positive squares in 3 ways, for example, as 3485249296 + 7022104804 = 59036^2 + 83798^2 .

It is a super-2 number, since 2×10507354100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10507354100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52536671 + ... + 52536870.

It is an arithmetic number, because the mean of its divisors is an integer number (1266719923).

Almost surely, 2^10507354100 is an apocalyptic number.

10507354100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507354100 is an abundant number, since it is smaller than the sum of its proper divisors (12293604514).

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

10507354100 is a wasteful number, since it uses less digits than its factorization.

10507354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105073555 (or 105073548 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 10507354100 in words is "ten billion, five hundred seven million, three hundred fifty-four thousand, one hundred".