104635476 has 180 divisors, whose sum is σ = 320379444. Its totient is φ = 29652480.

The previous prime is 104635429. The next prime is 104635481. The reversal of 104635476 is 674536401.

It is a happy number.

104635476 is a `hidden beast` number, since 10 + 4 + 635 + 4 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 48024900 = 7524^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104635476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 666390 + ... + 666546.

Almost surely, 2^104635476 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 104635476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160189722).

104635476 is an abundant number, since it is smaller than the sum of its proper divisors (215743968).

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

104635476 is a wasteful number, since it uses less digits than its factorization.

104635476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 104635476 is about 10229.1483516469. The cubic root of 104635476 is about 471.2228245041. Note that the first 3 decimals are identical.

It can be divided in two parts, 104635 and 476, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 104635476 in words is "one hundred four million, six hundred thirty-five thousand, four hundred seventy-six".