102857234400 has 288 divisors, whose sum is σ = 376599333600. Its totient is φ = 27428129280.

The previous prime is 102857234399. The next prime is 102857234413. The reversal of 102857234400 is 4432758201.

It is a happy number.

102857234400 is a `hidden beast` number, since 10 + 2 + 8 + 5 + 7 + 234 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×102857234400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1720206 + ... + 1778994.

It is an arithmetic number, because the mean of its divisors is an integer number (1307636575).

Almost surely, 2^102857234400 is an apocalyptic number.

102857234400 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 102857234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188299666800).

102857234400 is an abundant number, since it is smaller than the sum of its proper divisors (273742099200).

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

102857234400 is an frugal number, since it uses more digits than its factorization.

102857234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58830 (or 58799 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 102857234400 in words is "one hundred two billion, eight hundred fifty-seven million, two hundred thirty-four thousand, four hundred".