104958720 has 144 divisors (see below), whose sum is σ = 372580320. Its totient is φ = 27979776.

The previous prime is 104958703. The next prime is 104958779. The reversal of 104958720 is 27859401.

104958720 is a `hidden beast` number, since 10 + 49 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104958720² = 22032665808076800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33042 + ... + 36078.

Almost surely, 2^104958720 is an apocalyptic number.

104958720 is a gapful number since it is divisible by the number (10) 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 104958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186290160).

104958720 is an abundant number, since it is smaller than the sum of its proper divisors (267621600).

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

104958720 is an equidigital number, since it uses as much as digits as its factorization.

104958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104958720 is about 10244.9363101973. The cubic root of 104958720 is about 471.7075656716.

The spelling of 104958720 in words is "one hundred four million, nine hundred fifty-eight thousand, seven hundred twenty".