10102034400 has 72 divisors (see below), whose sum is σ = 32882129784. Its totient is φ = 2693875200.

The previous prime is 10102034329. The next prime is 10102034407. The reversal of 10102034400 is 443020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102034400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102034407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2102191 + ... + 2106990.

It is an arithmetic number, because the mean of its divisors is an integer number (456696247).

Almost surely, 2^10102034400 is an apocalyptic number.

10102034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102034400 is an abundant number, since it is smaller than the sum of its proper divisors (22780095384).

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

10102034400 is a wasteful number, since it uses less digits than its factorization.

10102034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209204 (or 4209191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10102034400 its reverse (443020101), we get a palindrome (10545054501).

The spelling of 10102034400 in words is "ten billion, one hundred two million, thirty-four thousand, four hundred".