102110400 has 252 divisors, whose sum is σ = 415180272. Its totient is φ = 23316480.

The previous prime is 102110399. The next prime is 102110443. The reversal of 102110400 is 4011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100294 + ... + 101306.

Almost surely, 2^102110400 is an apocalyptic number.

102110400 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 102110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207590136).

102110400 is an abundant number, since it is smaller than the sum of its proper divisors (313069872).

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

102110400 is a wasteful number, since it uses less digits than its factorization.

102110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102110400 is about 10104.9690746682. The cubic root of 102110400 is about 467.4013823459.

Adding to 102110400 its reverse (4011201), we get a palindrome (106121601).

The spelling of 102110400 in words is "one hundred two million, one hundred ten thousand, four hundred".