101885952 has 192 divisors, whose sum is σ = 327075840. Its totient is φ = 27574272.

The previous prime is 101885951. The next prime is 101885957. The reversal of 101885952 is 259588101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 101885952.

It is not an unprimeable number, because it can be changed into a prime (101885951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989133 + ... + 989235.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^101885952 is an apocalyptic number.

101885952 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 101885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

101885952 is an abundant number, since it is smaller than the sum of its proper divisors (225189888).

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

101885952 is a wasteful number, since it uses less digits than its factorization.

101885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 101885952 is about 10093.8571418462. The cubic root of 101885952 is about 467.0586674519.

The spelling of 101885952 in words is "one hundred one million, eight hundred eighty-five thousand, nine hundred fifty-two".