104747616 has 72 divisors (see below), whose sum is σ = 298948104. Its totient is φ = 34790400.

The previous prime is 104747609. The next prime is 104747677. The reversal of 104747616 is 616747401.

It is a tau number, because it is divible by the number of its divisors (72).

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, 115035 + ... + 115941.

It is an arithmetic number, because the mean of its divisors is an integer number (4152057).

Almost surely, 2^104747616 is an apocalyptic number.

104747616 is a gapful number since it is divisible by the number (16) 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 104747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149474052).

104747616 is an abundant number, since it is smaller than the sum of its proper divisors (194200488).

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

104747616 is a wasteful number, since it uses less digits than its factorization.

104747616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 104747616 is about 10234.6282785453. The cubic root of 104747616 is about 471.3911041455.

The spelling of 104747616 in words is "one hundred four million, seven hundred forty-seven thousand, six hundred sixteen".