106149168 has 30 divisors (see below), whose sum is σ = 297070644. Its totient is φ = 35383008.

The previous prime is 106149151. The next prime is 106149191. The reversal of 106149168 is 861941601.

It is a happy number.

106149168 is a `hidden beast` number, since 106 + 1 + 491 + 68 = 666.

It is a super-2 number, since 2×106149168² = 22535291734184448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368430 + ... + 368717.

Almost surely, 2^106149168 is an apocalyptic number.

106149168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106149168 is an abundant number, since it is smaller than the sum of its proper divisors (190921476).

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

106149168 is a wasteful number, since it uses less digits than its factorization.

106149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737161 (or 737152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106149168 is about 10302.8718326494. The cubic root of 106149168 is about 473.4842437983.

The spelling of 106149168 in words is "one hundred six million, one hundred forty-nine thousand, one hundred sixty-eight".