106304868 has 18 divisors (see below), whose sum is σ = 268715174. Its totient is φ = 35434944.

The previous prime is 106304839. The next prime is 106304879. The reversal of 106304868 is 868403601.

It is a happy number.

106304868 is a `hidden beast` number, since 10 + 630 + 4 + 8 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68260644 + 38044224 = 8262^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106304868² = 22601449920994848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2952913 = 106304868 / (1 + 0 + 6 + 3 + 0 + 4 + 8 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1476421 + ... + 1476492.

Almost surely, 2^106304868 is an apocalyptic number.

106304868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106304868 is an abundant number, since it is smaller than the sum of its proper divisors (162410306).

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

106304868 is a wasteful number, since it uses less digits than its factorization.

106304868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952923 (or 2952918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106304868 is about 10310.4252094664. The cubic root of 106304868 is about 473.7156335256.

The spelling of 106304868 in words is "one hundred six million, three hundred four thousand, eight hundred sixty-eight".