104877760 has 112 divisors (see below), whose sum is σ = 284963616. Its totient is φ = 36421632.

The previous prime is 104877749. The next prime is 104877763. The reversal of 104877760 is 67778401.

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

It is not an unprimeable number, because it can be changed into a prime (104877763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69979 + ... + 71461.

It is an arithmetic number, because the mean of its divisors is an integer number (2544318).

Almost surely, 2^104877760 is an apocalyptic number.

104877760 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 104877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142481808).

104877760 is an abundant number, since it is smaller than the sum of its proper divisors (180085856).

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

104877760 is a wasteful number, since it uses less digits than its factorization.

104877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 104877760 is about 10240.9843276904. The cubic root of 104877760 is about 471.5862504603.

The spelling of 104877760 in words is "one hundred four million, eight hundred seventy-seven thousand, seven hundred sixty".