104106894336 has 99 divisors (see below), whose sum is σ = 300695864313. Its totient is φ = 34691973120.

The previous prime is 104106894329. The next prime is 104106894343. The reversal of 104106894336 is 633498601401.

The square root of 104106894336 is 322656.

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

104106894336 is a `hidden beast` number, since 104 + 106 + 8 + 9 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (104106894329) and next prime (104106894343).

It can be written as a sum of positive squares in only one way, i.e., 78095655936 + 26011238400 = 279456^2 + 161280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104106894291 and 104106894300.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 30973296 + ... + 30976656.

Almost surely, 2^104106894336 is an apocalyptic number.

104106894336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104106894336 is the 322656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104106894336

104106894336 is an abundant number, since it is smaller than the sum of its proper divisors (196588969977).

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

104106894336 is an frugal number, since it uses more digits than its factorization.

104106894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 104106894336 in words is "one hundred four billion, one hundred six million, eight hundred ninety-four thousand, three hundred thirty-six".