104966040 has 128 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 26601984.

The previous prime is 104966021. The next prime is 104966083. The reversal of 104966040 is 40669401.

It is a super-2 number, since 2×104966040² = 22035739106563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104965989 and 104966007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208429 + ... + 208931.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^104966040 is an apocalyptic number.

104966040 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 104966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

104966040 is an abundant number, since it is smaller than the sum of its proper divisors (225980520).

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

104966040 is a wasteful number, since it uses less digits than its factorization.

104966040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 104966040 is about 10245.2935536274. The cubic root of 104966040 is about 471.7185313132.

The spelling of 104966040 in words is "one hundred four million, nine hundred sixty-six thousand, forty".