104936544 has 144 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 32659200.

The previous prime is 104936543. The next prime is 104936549. The reversal of 104936544 is 445639401.

104936544 is a `hidden beast` number, since 104 + 9 + 3 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104936544² = 22023356533327872, which contains 22 as substring.

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 = 104936499 and 104936508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104936543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694869 + ... + 695019.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 2^104936544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104936544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

104936544 is an abundant number, since it is smaller than the sum of its proper divisors (213752736).

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

104936544 is a wasteful number, since it uses less digits than its factorization.

104936544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 104936544 is about 10243.8539622546. The cubic root of 104936544 is about 471.6743420583.

The spelling of 104936544 in words is "one hundred four million, nine hundred thirty-six thousand, five hundred forty-four".