104801367528 has 192 divisors, whose sum is σ = 333681828480. Its totient is φ = 29295475200.

The previous prime is 104801367527. The next prime is 104801367551. The reversal of 104801367528 is 825763108401.

104801367528 is a `hidden beast` number, since 10 + 4 + 80 + 1 + 36 + 7 + 528 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104801367527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22865125 + ... + 22869707.

It is an arithmetic number, because the mean of its divisors is an integer number (1737926190).

Almost surely, 2^104801367528 is an apocalyptic number.

104801367528 is a gapful number since it is divisible by the number (18) 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 104801367528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166840914240).

104801367528 is an abundant number, since it is smaller than the sum of its proper divisors (228880460952).

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

104801367528 is a wasteful number, since it uses less digits than its factorization.

104801367528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 104801367528 in words is "one hundred four billion, eight hundred one million, three hundred sixty-seven thousand, five hundred twenty-eight".