101875144 has 32 divisors (see below), whose sum is σ = 225835200. Its totient is φ = 42154560.

The previous prime is 101875141. The next prime is 101875153. The reversal of 101875144 is 441578101.

It is not an unprimeable number, because it can be changed into a prime (101875141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29742 + ... + 32989.

It is an arithmetic number, because the mean of its divisors is an integer number (7057350).

Almost surely, 2^101875144 is an apocalyptic number.

101875144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101875144 is an abundant number, since it is smaller than the sum of its proper divisors (123960056).

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

101875144 is a wasteful number, since it uses less digits than its factorization.

101875144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62773 (or 62769 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 101875144 is about 10093.3217525253. The cubic root of 101875144 is about 467.0421517678.

The spelling of 101875144 in words is "one hundred one million, eight hundred seventy-five thousand, one hundred forty-four".