102470400 has 216 divisors, whose sum is σ = 376382160. Its totient is φ = 27279360.

The previous prime is 102470399. The next prime is 102470411. The reversal of 102470400 is 4074201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 172504 + ... + 173096.

It is an arithmetic number, because the mean of its divisors is an integer number (1742510).

Almost surely, 2^102470400 is an apocalyptic number.

102470400 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 102470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188191080).

102470400 is an abundant number, since it is smaller than the sum of its proper divisors (273911760).

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

102470400 is an equidigital number, since it uses as much as digits as its factorization.

102470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102470400 is about 10122.7664203023. The cubic root of 102470400 is about 467.9500275373.

The spelling of 102470400 in words is "one hundred two million, four hundred seventy thousand, four hundred".