102290400 has 108 divisors (see below), whose sum is σ = 360726912. Its totient is φ = 27275520.

The previous prime is 102290393. The next prime is 102290413. The reversal of 102290400 is 4092201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (3340064).

Almost surely, 2^102290400 is an apocalyptic number.

102290400 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 102290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

102290400 is an abundant number, since it is smaller than the sum of its proper divisors (258436512).

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

102290400 is a wasteful number, since it uses less digits than its factorization.

102290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102290400 is about 10113.8716622271. The cubic root of 102290400 is about 467.6758658498.

The spelling of 102290400 in words is "one hundred two million, two hundred ninety thousand, four hundred".