104556642520 has 256 divisors, whose sum is σ = 274456719360. Its totient is φ = 35493120000.

The previous prime is 104556642503. The next prime is 104556642523. The reversal of 104556642520 is 25246655401.

It is a happy number.

It is a super-3 number, since 3×104556642520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104556642523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44096935 + ... + 44099305.

It is an arithmetic number, because the mean of its divisors is an integer number (1072096560).

Almost surely, 2^104556642520 is an apocalyptic number.

104556642520 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 104556642520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137228359680).

104556642520 is an abundant number, since it is smaller than the sum of its proper divisors (169900076840).

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

104556642520 is a wasteful number, since it uses less digits than its factorization.

104556642520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 104556642520 in words is "one hundred four billion, five hundred fifty-six million, six hundred forty-two thousand, five hundred twenty".