106163136 has 70 divisors (see below), whose sum is σ = 314716160. Its totient is φ = 35385984.

The previous prime is 106163129. The next prime is 106163137. The reversal of 106163136 is 631361601.

It is a happy number.

106163136 is a `hidden beast` number, since 10 + 616 + 3 + 1 + 36 = 666.

It is a super-2 number, since 2×106163136² = 22541222890708992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5056 + ... + 15423.

Almost surely, 2^106163136 is an apocalyptic number.

106163136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106163136 is an abundant number, since it is smaller than the sum of its proper divisors (208553024).

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

106163136 is an equidigital number, since it uses as much as digits as its factorization.

106163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20503 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106163136 is about 10303.5496796007. The cubic root of 106163136 is about 473.5050112333.

The spelling of 106163136 in words is "one hundred six million, one hundred sixty-three thousand, one hundred thirty-six".