104997672 has 72 divisors (see below), whose sum is σ = 307961550. Its totient is φ = 32303232.

The previous prime is 104997649. The next prime is 104997677. The reversal of 104997672 is 276799401.

It can be written as a sum of positive squares in 3 ways, for example, as 67469796 + 37527876 = 8214^2 + 6126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104997672² = 22049022250839168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104997677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7854 + ... + 16482.

Almost surely, 2^104997672 is an apocalyptic number.

104997672 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 104997672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153980775).

104997672 is an abundant number, since it is smaller than the sum of its proper divisors (202963878).

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

104997672 is a wasteful number, since it uses less digits than its factorization.

104997672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 104997672 is about 10246.8371705615. The cubic root of 104997672 is about 471.7659114054.

The spelling of 104997672 in words is "one hundred four million, nine hundred ninety-seven thousand, six hundred seventy-two".