102550400 has 96 divisors (see below), whose sum is σ = 257386800. Its totient is φ = 40366080.

The previous prime is 102550397. The next prime is 102550417. The reversal of 102550400 is 4055201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233381 + ... + 233819.

Almost surely, 2^102550400 is an apocalyptic number.

102550400 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 102550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128693400).

102550400 is an abundant number, since it is smaller than the sum of its proper divisors (154836400).

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

102550400 is an equidigital number, since it uses as much as digits as its factorization.

102550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 102550400 is about 10126.7171383425. The cubic root of 102550400 is about 468.0717741235.

The spelling of 102550400 in words is "one hundred two million, five hundred fifty thousand, four hundred".