101882952 has 48 divisors (see below), whose sum is σ = 277721340. Its totient is φ = 33740928.

The previous prime is 101882951. The next prime is 101882971. The reversal of 101882952 is 259288101.

It can be written as a sum of positive squares in 2 ways, for example, as 100280196 + 1602756 = 10014^2 + 1266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101882951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6798 + ... + 15810.

Almost surely, 2^101882952 is an apocalyptic number.

101882952 is a gapful number since it is divisible by the number (12) 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 101882952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138860670).

101882952 is an abundant number, since it is smaller than the sum of its proper divisors (175838388).

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

101882952 is a wasteful number, since it uses less digits than its factorization.

101882952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 101882952 is about 10093.7085355185. The cubic root of 101882952 is about 467.0540832747.

The spelling of 101882952 in words is "one hundred one million, eight hundred eighty-two thousand, nine hundred fifty-two".