104071120 has 40 divisors (see below), whose sum is σ = 247874760. Its totient is φ = 40611840.

The previous prime is 104071087. The next prime is 104071133. The reversal of 104071120 is 21170401.

It can be written as a sum of positive squares in 4 ways, for example, as 10291264 + 93779856 = 3208^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 104071094 and 104071103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12585 + ... + 19144.

It is an arithmetic number, because the mean of its divisors is an integer number (6196869).

Almost surely, 2^104071120 is an apocalyptic number.

104071120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104071120 is an abundant number, since it is smaller than the sum of its proper divisors (143803640).

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

104071120 is a wasteful number, since it uses less digits than its factorization.

104071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31783 (or 31777 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 104071120 is about 10201.5253761386. The cubic root of 104071120 is about 470.3741098636.

The spelling of 104071120 in words is "one hundred four million, seventy-one thousand, one hundred twenty".