100821952 has 112 divisors (see below), whose sum is σ = 256032000. Its totient is φ = 38246400.

The previous prime is 100821947. The next prime is 100821967. The reversal of 100821952 is 259128001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 100821952.

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, 201799 + ... + 202297.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^100821952 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 100821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016000).

100821952 is an abundant number, since it is smaller than the sum of its proper divisors (155210048).

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

100821952 is a wasteful number, since it uses less digits than its factorization.

100821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 100821952 is about 10041.0134946628. The cubic root of 100821952 is about 465.4271359481.

Adding to 100821952 its reverse (259128001), we get a palindrome (359949953).

It can be divided in two parts, 1008 and 21952, that multiplied together give a square (22127616 = 4704²).

The spelling of 100821952 in words is "one hundred million, eight hundred twenty-one thousand, nine hundred fifty-two".