104901768 has 96 divisors (see below), whose sum is σ = 300368640. Its totient is φ = 33022080.

The previous prime is 104901767. The next prime is 104901773. The reversal of 104901768 is 867109401.

It is a super-2 number, since 2×104901768² = 22008761859051648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104901767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95430 + ... + 96522.

It is an arithmetic number, because the mean of its divisors is an integer number (3128840).

Almost surely, 2^104901768 is an apocalyptic number.

104901768 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 104901768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150184320).

104901768 is an abundant number, since it is smaller than the sum of its proper divisors (195466872).

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

104901768 is a wasteful number, since it uses less digits than its factorization.

104901768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 104901768 is about 10242.1564135684. The cubic root of 104901768 is about 471.6222319652.

The spelling of 104901768 in words is "one hundred four million, nine hundred one thousand, seven hundred sixty-eight".