100952384 has 56 divisors (see below), whose sum is σ = 219078048. Its totient is φ = 45872640.

The previous prime is 100952329. The next prime is 100952387. The reversal of 100952384 is 483259001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 100952384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100952387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54839 + ... + 56649.

It is an arithmetic number, because the mean of its divisors is an integer number (3912108).

Almost surely, 2^100952384 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 100952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109539024).

100952384 is an abundant number, since it is smaller than the sum of its proper divisors (118125664).

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

100952384 is a wasteful number, since it uses less digits than its factorization.

100952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 100952384 is about 10047.5063573008. The cubic root of 100952384 is about 465.6277550638.

The spelling of 100952384 in words is "one hundred million, nine hundred fifty-two thousand, three hundred eighty-four".