101253150 has 72 divisors (see below), whose sum is σ = 273524160. Its totient is φ = 26853120.

The previous prime is 101253143. The next prime is 101253167. The reversal of 101253150 is 51352101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99846 + ... + 100854.

Almost surely, 2^101253150 is an apocalyptic number.

101253150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101253150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136762080).

101253150 is an abundant number, since it is smaller than the sum of its proper divisors (172271010).

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

101253150 is a wasteful number, since it uses less digits than its factorization.

101253150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101253150 is about 10062.4624222901. The cubic root of 101253150 is about 466.0897093157.

The spelling of 101253150 in words is "one hundred one million, two hundred fifty-three thousand, one hundred fifty".