101152000 has 144 divisors (see below), whose sum is σ = 263062800. Its totient is φ = 38707200.

The previous prime is 101151997. The next prime is 101152001. The reversal of 101152000 is 251101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22581504 + 78570496 = 4752^2 + 8864^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927946 + ... + 928054.

It is an arithmetic number, because the mean of its divisors is an integer number (1826825).

Almost surely, 2^101152000 is an apocalyptic number.

101152000 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 101152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131531400).

101152000 is an abundant number, since it is smaller than the sum of its proper divisors (161910800).

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

101152000 is an equidigital number, since it uses as much as digits as its factorization.

101152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 101152000 is about 10057.4350606902. The cubic root of 101152000 is about 465.9344526421.

The spelling of 101152000 in words is "one hundred one million, one hundred fifty-two thousand".