104146799652 has 384 divisors, whose sum is σ = 340623360000. Its totient is φ = 26831274624.

The previous prime is 104146799609. The next prime is 104146799683. The reversal of 104146799652 is 256997641401.

104146799652 is a `hidden beast` number, since 1 + 0 + 41 + 467 + 9 + 96 + 52 = 666.

104146799652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104146799652² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78958249 + ... + 78959567.

It is an arithmetic number, because the mean of its divisors is an integer number (887040000).

Almost surely, 2^104146799652 is an apocalyptic number.

104146799652 is a gapful number since it is divisible by the number (12) 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 104146799652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680000).

104146799652 is an abundant number, since it is smaller than the sum of its proper divisors (236476560348).

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

104146799652 is a wasteful number, since it uses less digits than its factorization.

104146799652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 104146799652 in words is "one hundred four billion, one hundred forty-six million, seven hundred ninety-nine thousand, six hundred fifty-two".