102551400 has 192 divisors, whose sum is σ = 403843200. Its totient is φ = 23431680.

The previous prime is 102551389. The next prime is 102551443. The reversal of 102551400 is 4155201.

102551400 is a `hidden beast` number, since 10 + 255 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36444 + ... + 39156.

It is an arithmetic number, because the mean of its divisors is an integer number (2103350).

Almost surely, 2^102551400 is an apocalyptic number.

102551400 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 102551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201921600).

102551400 is an abundant number, since it is smaller than the sum of its proper divisors (301291800).

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

102551400 is a wasteful number, since it uses less digits than its factorization.

102551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102551400 is about 10126.7665125646. The cubic root of 102551400 is about 468.0732955551.

It can be divided in two parts, 1025 and 51400, that added together give a palindrome (52425).

The spelling of 102551400 in words is "one hundred two million, five hundred fifty-one thousand, four hundred".