104688485136 has 135 divisors (see below), whose sum is σ = 298685903061. Its totient is φ = 34229636352.

The previous prime is 104688485131. The next prime is 104688485159. The reversal of 104688485136 is 631584886401.

The square root of 104688485136 is 323556.

It is a perfect power (a square), and thus also a powerful number.

104688485136 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 88 + 48 + 513 + 6 = 666.

104688485136 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 90540810000 + 14147675136 = 300900^2 + 118944^2 .

It is not an unprimeable number, because it can be changed into a prime (104688485131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229077420 + ... + 229077876.

Almost surely, 2^104688485136 is an apocalyptic number.

104688485136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104688485136 is the 323556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104688485136

104688485136 is an abundant number, since it is smaller than the sum of its proper divisors (193997417925).

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

104688485136 is an frugal number, since it uses more digits than its factorization.

104688485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

It can be divided in two parts, 104688 and 485136, that added together give a square (589824 = 768²).

The spelling of 104688485136 in words is "one hundred four billion, six hundred eighty-eight million, four hundred eighty-five thousand, one hundred thirty-six".