104969920 has 84 divisors (see below), whose sum is σ = 274850352. Its totient is φ = 38156800.

The previous prime is 104969911. The next prime is 104969933. The reversal of 104969920 is 29969401.

It is a super-2 number, since 2×104969920² = 22037368209612800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37365 + ... + 40075.

It is an arithmetic number, because the mean of its divisors is an integer number (3272028).

Almost surely, 2^104969920 is an apocalyptic number.

104969920 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 104969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137425176).

104969920 is an abundant number, since it is smaller than the sum of its proper divisors (169880432).

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

104969920 is a wasteful number, since it uses less digits than its factorization.

104969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 104969920 is about 10245.4829071157. The cubic root of 104969920 is about 471.7243434957.

The spelling of 104969920 in words is "one hundred four million, nine hundred sixty-nine thousand, nine hundred twenty".