101875488 has 192 divisors, whose sum is σ = 323616384. Its totient is φ = 27648000.

The previous prime is 101875481. The next prime is 101875513. The reversal of 101875488 is 884578101.

It is not an unprimeable number, because it can be changed into a prime (101875481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562758 + ... + 562938.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^101875488 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 101875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808192).

101875488 is an abundant number, since it is smaller than the sum of its proper divisors (221740896).

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

101875488 is a wasteful number, since it uses less digits than its factorization.

101875488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 101875488 is about 10093.3387934816. The cubic root of 101875488 is about 467.0426774515.

The spelling of 101875488 in words is "one hundred one million, eight hundred seventy-five thousand, four hundred eighty-eight".