104945616 has 60 divisors (see below), whose sum is σ = 301655172. Its totient is φ = 34034688.

The previous prime is 104945611. The next prime is 104945623. The reversal of 104945616 is 616549401.

104945616 is a `hidden beast` number, since 1 + 0 + 4 + 94 + 561 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 50126400 = 7404^2 + 7080^2 .

It is a super-2 number, since 2×104945616² = 22027164635238912, 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 (104945611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4521 + ... + 15176.

Almost surely, 2^104945616 is an apocalyptic number.

104945616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104945616 is an abundant number, since it is smaller than the sum of its proper divisors (196709556).

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

104945616 is a wasteful number, since it uses less digits than its factorization.

104945616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19748 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 104945616 is about 10244.2967547802. The cubic root of 104945616 is about 471.6879341022.

It can be divided in two parts, 10494 and 5616, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 104945616 in words is "one hundred four million, nine hundred forty-five thousand, six hundred sixteen".