104992272 has 240 divisors, whose sum is σ = 388582272. Its totient is φ = 25620480.

The previous prime is 104992249. The next prime is 104992291. The reversal of 104992272 is 272299401.

It is a super-2 number, since 2×104992272² = 22046754359443968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188218 + ... + 188774.

Almost surely, 2^104992272 is an apocalyptic number.

104992272 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 104992272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291136).

104992272 is an abundant number, since it is smaller than the sum of its proper divisors (283590000).

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

104992272 is a wasteful number, since it uses less digits than its factorization.

104992272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104992272 is about 10246.5736712327. The cubic root of 104992272 is about 471.7578236718.

The spelling of 104992272 in words is "one hundred four million, nine hundred ninety-two thousand, two hundred seventy-two".