101152800 has 360 divisors, whose sum is σ = 423472896. Its totient is φ = 23016960.

The previous prime is 101152769. The next prime is 101152811. The reversal of 101152800 is 8251101.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 453489 + ... + 453711.

Almost surely, 2^101152800 is an apocalyptic number.

101152800 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 101152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211736448).

101152800 is an abundant number, since it is smaller than the sum of its proper divisors (322320096).

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

101152800 is a wasteful number, since it uses less digits than its factorization.

101152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101152800 is about 10057.4748321833. The cubic root of 101152800 is about 465.9356809802.

The spelling of 101152800 in words is "one hundred one million, one hundred fifty-two thousand, eight hundred".