101882872 has 64 divisors (see below), whose sum is σ = 236376000. Its totient is φ = 40089600.

The previous prime is 101882863. The next prime is 101882881. The reversal of 101882872 is 278288101.

It is an interprime number because it is at equal distance from previous prime (101882863) and next prime (101882881).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253872 + ... + 254272.

It is an arithmetic number, because the mean of its divisors is an integer number (3693375).

Almost surely, 2^101882872 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 101882872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118188000).

101882872 is an abundant number, since it is smaller than the sum of its proper divisors (134493128).

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

101882872 is a wasteful number, since it uses less digits than its factorization.

101882872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 101882872 is about 10093.7045726532. The cubic root of 101882872 is about 467.0539610288.

The spelling of 101882872 in words is "one hundred one million, eight hundred eighty-two thousand, eight hundred seventy-two".