10102500144 has 200 divisors, whose sum is σ = 32441048640. Its totient is φ = 3009225600.

The previous prime is 10102500113. The next prime is 10102500157. The reversal of 10102500144 is 44100520101.

10102500144 is a `hidden beast` number, since 10 + 10 + 2 + 500 + 144 = 666.

10102500144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 835099 + ... + 847109.

Almost surely, 2^10102500144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220524320).

10102500144 is an abundant number, since it is smaller than the sum of its proper divisors (22338548496).

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

10102500144 is a wasteful number, since it uses less digits than its factorization.

10102500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10102500144 in words is "ten billion, one hundred two million, five hundred thousand, one hundred forty-four".