100821072 has 60 divisors (see below), whose sum is σ = 286301120. Its totient is φ = 30550080.

The previous prime is 100821059. The next prime is 100821079. The reversal of 100821072 is 270128001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100821079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872 + ... + 14487.

Almost surely, 2^100821072 is an apocalyptic number.

100821072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100821072 is an abundant number, since it is smaller than the sum of its proper divisors (185480048).

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

100821072 is a wasteful number, since it uses less digits than its factorization.

100821072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 100821072 is about 10040.9696742894. The cubic root of 100821072 is about 465.4257818215.

Adding to 100821072 its reverse (270128001), we get a palindrome (370949073).

The spelling of 100821072 in words is "one hundred million, eight hundred twenty-one thousand, seventy-two".