104951040 has 144 divisors (see below), whose sum is σ = 339271296. Its totient is φ = 27648000.

The previous prime is 104951039. The next prime is 104951051. The reversal of 104951040 is 40159401.

It is a super-2 number, since 2×104951040² = 22029441594163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104951040.

It is a congruent number.

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, 579750 + ... + 579930.

Almost surely, 2^104951040 is an apocalyptic number.

104951040 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 104951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169635648).

104951040 is an abundant number, since it is smaller than the sum of its proper divisors (234320256).

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

104951040 is a wasteful number, since it uses less digits than its factorization.

104951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 104951040 is about 10244.5614840265. The cubic root of 104951040 is about 471.6960601881.

The spelling of 104951040 in words is "one hundred four million, nine hundred fifty-one thousand, forty".