106151292 has 36 divisors (see below), whose sum is σ = 288968680. Its totient is φ = 32661792.

The previous prime is 106151291. The next prime is 106151321. The reversal of 106151292 is 292151601.

106151292 is a `hidden beast` number, since 1 + 0 + 61 + 512 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106151292² = 22536193586538528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112942 + ... + 113877.

Almost surely, 2^106151292 is an apocalyptic number.

106151292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106151292 is an abundant number, since it is smaller than the sum of its proper divisors (182817388).

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

106151292 is a wasteful number, since it uses less digits than its factorization.

106151292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226842 (or 226837 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106151292 is about 10302.9749101898. The cubic root of 106151292 is about 473.4874018504.

The spelling of 106151292 in words is "one hundred six million, one hundred fifty-one thousand, two hundred ninety-two".