10102540400 has 120 divisors (see below), whose sum is σ = 25638311424. Its totient is φ = 3819513600.

The previous prime is 10102540361. The next prime is 10102540423. The reversal of 10102540400 is 404520101.

It is a super-2 number, since 2×10102540400² (a number of 21 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 23 ways as a sum of consecutive naturals, for example, 523727 + ... + 542673.

Almost surely, 2^10102540400 is an apocalyptic number.

10102540400 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 10102540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819155712).

10102540400 is an abundant number, since it is smaller than the sum of its proper divisors (15535771024).

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

10102540400 is a wasteful number, since it uses less digits than its factorization.

10102540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19039 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 10102540400 in words is "ten billion, one hundred two million, five hundred forty thousand, four hundred".