102024034400 has 72 divisors (see below), whose sum is σ = 249110555904. Its totient is φ = 40802342400.

The previous prime is 102024034291. The next prime is 102024034417. The reversal of 102024034400 is 4430420201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8082494 + ... + 8095106.

It is an arithmetic number, because the mean of its divisors is an integer number (3459868832).

Almost surely, 2^102024034400 is an apocalyptic number.

102024034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024034400 is an abundant number, since it is smaller than the sum of its proper divisors (147086521504).

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

102024034400 is a wasteful number, since it uses less digits than its factorization.

102024034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22744 (or 22731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102024034400 its reverse (4430420201), we get a palindrome (106454454601).

The spelling of 102024034400 in words is "one hundred two billion, twenty-four million, thirty-four thousand, four hundred".