104976000 has 288 divisors, whose sum is σ = 391474980. Its totient is φ = 27993600.

The previous prime is 104975999. The next prime is 104976061. The reversal of 104976000 is 679401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

104976000 is a `hidden beast` number, since 10 + 49 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 34012224 = 8424^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104976000² = 22039921152000000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 20995198 + ... + 20995202.

Almost surely, 2^104976000 is an apocalyptic number.

104976000 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 104976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195737490).

104976000 is an abundant number, since it is smaller than the sum of its proper divisors (286498980).

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

104976000 is an frugal number, since it uses more digits than its factorization.

104976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 104976000 is about 10245.7796189455. The cubic root of 104976000 is about 471.7334509576.

The spelling of 104976000 in words is "one hundred four million, nine hundred seventy-six thousand".