104832840 has 128 divisors (see below), whose sum is σ = 369250560. Its totient is φ = 23307264.

The previous prime is 104832817. The next prime is 104832907. The reversal of 104832840 is 48238401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104832798 and 104832807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29394 + ... + 32766.

It is an arithmetic number, because the mean of its divisors is an integer number (2884770).

Almost surely, 2^104832840 is an apocalyptic number.

104832840 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 104832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184625280).

104832840 is an abundant number, since it is smaller than the sum of its proper divisors (264417720).

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

104832840 is a wasteful number, since it uses less digits than its factorization.

104832840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 104832840 is about 10238.7909442473. The cubic root of 104832840 is about 471.5189127665.

The spelling of 104832840 in words is "one hundred four million, eight hundred thirty-two thousand, eight hundred forty".