104636640 has 96 divisors (see below), whose sum is σ = 341016480. Its totient is φ = 26937344.

The previous prime is 104636639. The next prime is 104636641. The reversal of 104636640 is 46636401.

It is an interprime number because it is at equal distance from previous prime (104636639) and next prime (104636641).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 104636598 and 104636607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104636641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10162 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (3552255).

Almost surely, 2^104636640 is an apocalyptic number.

104636640 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 104636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170508240).

104636640 is an abundant number, since it is smaller than the sum of its proper divisors (236379840).

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

104636640 is a wasteful number, since it uses less digits than its factorization.

104636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 104636640 is about 10229.2052477209. The cubic root of 104636640 is about 471.2245718443.

The spelling of 104636640 in words is "one hundred four million, six hundred thirty-six thousand, six hundred forty".