104693760 has 192 divisors, whose sum is σ = 368044560. Its totient is φ = 27525120.

The previous prime is 104693713. The next prime is 104693783. The reversal of 104693760 is 67396401.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474525 + ... + 1474595.

Almost surely, 2^104693760 is an apocalyptic number.

104693760 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 104693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184022280).

104693760 is an abundant number, since it is smaller than the sum of its proper divisors (263350800).

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

104693760 is an frugal number, since it uses more digits than its factorization.

104693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 104693760 is about 10231.9968725562. The cubic root of 104693760 is about 471.3103016971.

The spelling of 104693760 in words is "one hundred four million, six hundred ninety-three thousand, seven hundred sixty".