104972416 has 64 divisors (see below), whose sum is σ = 233172000. Its totient is φ = 46780416.

The previous prime is 104972411. The next prime is 104972429. The reversal of 104972416 is 614279401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104972416² = 22038416241754112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (104972411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40075 + ... + 42613.

Almost surely, 2^104972416 is an apocalyptic number.

104972416 is a gapful number since it is divisible by the number (16) 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 104972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116586000).

104972416 is an abundant number, since it is smaller than the sum of its proper divisors (128199584).

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

104972416 is a wasteful number, since it uses less digits than its factorization.

104972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 104972416 is about 10245.6047161698. The cubic root of 104972416 is about 471.7280823910.

The spelling of 104972416 in words is "one hundred four million, nine hundred seventy-two thousand, four hundred sixteen".