102525404800 has 864 divisors, whose sum is σ = 329498391780. Its totient is φ = 31399280640.

The previous prime is 102525404783. The next prime is 102525404809. The reversal of 102525404800 is 8404525201.

It can be written as a sum of positive squares in 18 ways, for example, as 14401920064 + 88123484736 = 120008^2 + 296856^2 .

It is a super-2 number, since 2×102525404800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102525404809) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1404457564 + ... + 1404457636.

Almost surely, 2^102525404800 is an apocalyptic number.

102525404800 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 102525404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164749195890).

102525404800 is an abundant number, since it is smaller than the sum of its proper divisors (226972986980).

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

102525404800 is a wasteful number, since it uses less digits than its factorization.

102525404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 102525404800 in words is "one hundred two billion, five hundred twenty-five million, four hundred four thousand, eight hundred".