104961600 has 252 divisors, whose sum is σ = 385085844. Its totient is φ = 27095040.

The previous prime is 104961589. The next prime is 104961613. The reversal of 104961600 is 6169401.

104961600 is a `hidden beast` number, since 1 + 0 + 49 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16451136 + 88510464 = 4056^2 + 9408^2 .

It is a super-2 number, since 2×104961600² = 22033874949120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532702 + ... + 532898.

Almost surely, 2^104961600 is an apocalyptic number.

104961600 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 104961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192542922).

104961600 is an abundant number, since it is smaller than the sum of its proper divisors (280124244).

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

104961600 is a wasteful number, since it uses less digits than its factorization.

104961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104961600 is about 10245.0768664759. The cubic root of 104961600 is about 471.7118800832.

The spelling of 104961600 in words is "one hundred four million, nine hundred sixty-one thousand, six hundred".