10102413400 has 96 divisors (see below), whose sum is σ = 24285365280. Its totient is φ = 3905280000.

The previous prime is 10102413389. The next prime is 10102413401. The reversal of 10102413400 is 431420101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112880 + ... + 1121920.

It is an arithmetic number, because the mean of its divisors is an integer number (252972555).

Almost surely, 2^10102413400 is an apocalyptic number.

10102413400 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 10102413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142682640).

10102413400 is an abundant number, since it is smaller than the sum of its proper divisors (14182951880).

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

10102413400 is a wasteful number, since it uses less digits than its factorization.

10102413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10102413400 its reverse (431420101), we get a palindrome (10533833501).

The spelling of 10102413400 in words is "ten billion, one hundred two million, four hundred thirteen thousand, four hundred".