102510560400 has 120 divisors (see below), whose sum is σ = 330077668320. Its totient is φ = 27194449920.

The previous prime is 102510560363. The next prime is 102510560431. The reversal of 102510560400 is 4065015201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10291 + ... + 452909.

It is an arithmetic number, because the mean of its divisors is an integer number (2750647236).

Almost surely, 2^102510560400 is an apocalyptic number.

102510560400 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 102510560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165038834160).

102510560400 is an abundant number, since it is smaller than the sum of its proper divisors (227567107920).

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

102510560400 is a wasteful number, since it uses less digits than its factorization.

102510560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442833 (or 442822 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102510560400 its reverse (4065015201), we get a palindrome (106575575601).

The spelling of 102510560400 in words is "one hundred two billion, five hundred ten million, five hundred sixty thousand, four hundred".