10502552100 has 144 divisors (see below), whose sum is σ = 33377863680. Its totient is φ = 2537884800.

The previous prime is 10502552057. The next prime is 10502552113. The reversal of 10502552100 is 125520501.

It is a super-2 number, since 2×10502552100² (a number of 21 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 91045 + ... + 171155.

It is an arithmetic number, because the mean of its divisors is an integer number (231790720).

Almost surely, 2^10502552100 is an apocalyptic number.

10502552100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10502552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688931840).

10502552100 is an abundant number, since it is smaller than the sum of its proper divisors (22875311580).

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

10502552100 is a wasteful number, since it uses less digits than its factorization.

10502552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80170 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 10502552100 in words is "ten billion, five hundred two million, five hundred fifty-two thousand, one hundred".