104877120 has 112 divisors (see below), whose sum is σ = 336426048. Its totient is φ = 27678720.

The previous prime is 104877119. The next prime is 104877121. The reversal of 104877120 is 21778401.

It is an interprime number because it is at equal distance from previous prime (104877119) and next prime (104877121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (104877121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102210 + ... + 103230.

It is an arithmetic number, because the mean of its divisors is an integer number (3003804).

Almost surely, 2^104877120 is an apocalyptic number.

104877120 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 104877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168213024).

104877120 is an abundant number, since it is smaller than the sum of its proper divisors (231548928).

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

104877120 is a wasteful number, since it uses less digits than its factorization.

104877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 104877120 is about 10240.9530806464. The cubic root of 104877120 is about 471.5852911981.

The spelling of 104877120 in words is "one hundred four million, eight hundred seventy-seven thousand, one hundred twenty".