106667136 has 48 divisors (see below), whose sum is σ = 306949110. Its totient is φ = 35555328.

The previous prime is 106667107. The next prime is 106667137. The reversal of 106667136 is 631766601.

It can be written as a sum of positive squares in only one way, i.e., 63107136 + 43560000 = 7944^2 + 6600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106667136² = 22755755804884992, which contains 22 as substring.

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 106667136.

It is not an unprimeable number, because it can be changed into a prime (106667137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45145 + ... + 47448.

Almost surely, 2^106667136 is an apocalyptic number.

106667136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106667136 is an abundant number, since it is smaller than the sum of its proper divisors (200281974).

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

106667136 is an equidigital number, since it uses as much as digits as its factorization.

106667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92613 (or 92598 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106667136 is about 10327.9783113637. The cubic root of 106667136 is about 474.2531361679.

The spelling of 106667136 in words is "one hundred six million, six hundred sixty-seven thousand, one hundred thirty-six".