101952864 has 192 divisors, whose sum is σ = 332337600. Its totient is φ = 30191616.

The previous prime is 101952863. The next prime is 101952869. The reversal of 101952864 is 468259101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101952863) 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, 325572 + ... + 325884.

It is an arithmetic number, because the mean of its divisors is an integer number (1730925).

Almost surely, 2^101952864 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 101952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166168800).

101952864 is an abundant number, since it is smaller than the sum of its proper divisors (230384736).

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

101952864 is a wasteful number, since it uses less digits than its factorization.

101952864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 101952864 is about 10097.1710889734. The cubic root of 101952864 is about 467.1608895609.

The spelling of 101952864 in words is "one hundred one million, nine hundred fifty-two thousand, eight hundred sixty-four".