104739840 has 132 divisors (see below), whose sum is σ = 363080484. Its totient is φ = 27918336.

The previous prime is 104739797. The next prime is 104739853. The reversal of 104739840 is 48937401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 36578304 = 8256^2 + 6048^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 104739795 and 104739804.

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, 44944 + ... + 47216.

Almost surely, 2^104739840 is an apocalyptic number.

104739840 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 104739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181540242).

104739840 is an abundant number, since it is smaller than the sum of its proper divisors (258340644).

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

104739840 is a wasteful number, since it uses less digits than its factorization.

104739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 104739840 is about 10234.2483847130. The cubic root of 104739840 is about 471.3794391929.

The spelling of 104739840 in words is "one hundred four million, seven hundred thirty-nine thousand, eight hundred forty".