104945760 has 192 divisors, whose sum is σ = 389188800. Its totient is φ = 26320896.

The previous prime is 104945747. The next prime is 104945761. The reversal of 104945760 is 67549401.

It is a super-2 number, since 2×104945760² = 22027225083955200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104945761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72726 + ... + 74154.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^104945760 is an apocalyptic number.

104945760 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 104945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

104945760 is an abundant number, since it is smaller than the sum of its proper divisors (284243040).

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

104945760 is a wasteful number, since it uses less digits than its factorization.

104945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 104945760 is about 10244.3037830787. The cubic root of 104945760 is about 471.6881498426.

The spelling of 104945760 in words is "one hundred four million, nine hundred forty-five thousand, seven hundred sixty".