104909040 has 160 divisors (see below), whose sum is σ = 382743360. Its totient is φ = 26320896.

The previous prime is 104909039. The next prime is 104909071. The reversal of 104909040 is 40909401.

It is a super-2 number, since 2×104909040² = 22011813347443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104908995 and 104909013.

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, 35292 + ... + 38148.

It is an arithmetic number, because the mean of its divisors is an integer number (2392146).

Almost surely, 2^104909040 is an apocalyptic number.

104909040 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 104909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191371680).

104909040 is an abundant number, since it is smaller than the sum of its proper divisors (277834320).

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

104909040 is a wasteful number, since it uses less digits than its factorization.

104909040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104909040 is about 10242.5114107820. The cubic root of 104909040 is about 471.6331296450.

The spelling of 104909040 in words is "one hundred four million, nine hundred nine thousand, forty".