100440972 has 60 divisors (see below), whose sum is σ = 264440176. Its totient is φ = 33242400.

The previous prime is 100440943. The next prime is 100441009. The reversal of 100440972 is 279044001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47898 + ... + 49950.

Almost surely, 2^100440972 is an apocalyptic number.

100440972 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 100440972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132220088).

100440972 is an abundant number, since it is smaller than the sum of its proper divisors (163999204).

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

100440972 is a wasteful number, since it uses less digits than its factorization.

100440972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100440972 is about 10022.0243464083. The cubic root of 100440972 is about 464.8401531744.

Adding to 100440972 its reverse (279044001), we get a palindrome (379484973).

The spelling of 100440972 in words is "one hundred million, four hundred forty thousand, nine hundred seventy-two".