101308400 has 60 divisors (see below), whose sum is σ = 244662912. Its totient is φ = 40312320.

The previous prime is 101308393. The next prime is 101308421. The reversal of 101308400 is 4803101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92657 + ... + 93743.

Almost surely, 2^101308400 is an apocalyptic number.

101308400 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 101308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122331456).

101308400 is an abundant number, since it is smaller than the sum of its proper divisors (143354512).

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

101308400 is a wasteful number, since it uses less digits than its factorization.

101308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101308400 is about 10065.2073997509. The cubic root of 101308400 is about 466.1744697207.

The spelling of 101308400 in words is "one hundred one million, three hundred eight thousand, four hundred".