10362553104 has 40 divisors (see below), whose sum is σ = 26890001152. Its totient is φ = 3438691200.

The previous prime is 10362553067. The next prime is 10362553139. The reversal of 10362553104 is 40135526301.

It is a super-3 number, since 3×10362553104³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473347 + ... + 494754.

Almost surely, 2^10362553104 is an apocalyptic number.

It is an amenable number.

10362553104 is an abundant number, since it is smaller than the sum of its proper divisors (16527448048).

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

10362553104 is a wasteful number, since it uses less digits than its factorization.

10362553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968335 (or 968329 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10362553104 in words is "ten billion, three hundred sixty-two million, five hundred fifty-three thousand, one hundred four".