106892157 has 16 divisors (see below), whose sum is σ = 151578560. Its totient is φ = 66811392.

The previous prime is 106892111. The next prime is 106892171. The reversal of 106892157 is 751298601.

It is a de Polignac number, because none of the positive numbers 2^k-106892157 is a prime.

It is a super-2 number, since 2×106892157² = 22851866456225298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106892197) 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 15 ways as a sum of consecutive naturals, for example, 4138 + ... + 15195.

It is an arithmetic number, because the mean of its divisors is an integer number (9473660).

Almost surely, 2^106892157 is an apocalyptic number.

It is an amenable number.

106892157 is a deficient number, since it is larger than the sum of its proper divisors (44686403).

106892157 is a wasteful number, since it uses less digits than its factorization.

106892157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19452.

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 106892157 is about 10338.8663305026. The cubic root of 106892157 is about 474.5863908290.

The spelling of 106892157 in words is "one hundred six million, eight hundred ninety-two thousand, one hundred fifty-seven".