104356512 has 240 divisors, whose sum is σ = 350048160. Its totient is φ = 30233088.

The previous prime is 104356457. The next prime is 104356519. The reversal of 104356512 is 215653401.

104356512 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 5 + 651 + 2 = 666.

It is a super-2 number, since 2×104356512² = 21780563193612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104356519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 640143 + ... + 640305.

It is an arithmetic number, because the mean of its divisors is an integer number (1458534).

Almost surely, 2^104356512 is an apocalyptic number.

104356512 is a gapful number since it is divisible by the number (12) 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 104356512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024080).

104356512 is an abundant number, since it is smaller than the sum of its proper divisors (245691648).

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

104356512 is a wasteful number, since it uses less digits than its factorization.

104356512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 104356512 is about 10215.5035118197. The cubic root of 104356512 is about 470.8036830433.

The spelling of 104356512 in words is "one hundred four million, three hundred fifty-six thousand, five hundred twelve".