104392903680 has 1320 divisors, whose sum is σ = 434339960208. Its totient is φ = 23824171008.

The previous prime is 104392903679. The next prime is 104392903687. The reversal of 104392903680 is 86309293401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104392903687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1558103007 + ... + 1558103073.

Almost surely, 2^104392903680 is an apocalyptic number.

104392903680 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 104392903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217169980104).

104392903680 is an abundant number, since it is smaller than the sum of its proper divisors (329947056528).

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

104392903680 is a wasteful number, since it uses less digits than its factorization.

104392903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 104392903680 in words is "one hundred four billion, three hundred ninety-two million, nine hundred three thousand, six hundred eighty".