102974400 has 126 divisors (see below), whose sum is σ = 366046512. Its totient is φ = 27456000.

The previous prime is 102974393. The next prime is 102974407. The reversal of 102974400 is 4479201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102974393) and next prime (102974407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102974407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10825 + ... + 17975.

Almost surely, 2^102974400 is an apocalyptic number.

102974400 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 102974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183023256).

102974400 is an abundant number, since it is smaller than the sum of its proper divisors (263072112).

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

102974400 is a wasteful number, since it uses less digits than its factorization.

102974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102974400 is about 10147.6302652393. The cubic root of 102974400 is about 468.7159761971.

The spelling of 102974400 in words is "one hundred two million, nine hundred seventy-four thousand, four hundred".