106251892 has 24 divisors (see below), whose sum is σ = 188434400. Its totient is φ = 52418016.

The previous prime is 106251877. The next prime is 106251907. The reversal of 106251892 is 298152601.

It is an interprime number because it is at equal distance from previous prime (106251877) and next prime (106251907).

It is a super-2 number, since 2×106251892² = 22578929107159328, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 164923 + ... + 165565.

Almost surely, 2^106251892 is an apocalyptic number.

It is an amenable number.

106251892 is a deficient number, since it is larger than the sum of its proper divisors (82182508).

106251892 is a wasteful number, since it uses less digits than its factorization.

106251892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 106251892 is about 10307.8558391161. The cubic root of 106251892 is about 473.6369299198.

The spelling of 106251892 in words is "one hundred six million, two hundred fifty-one thousand, eight hundred ninety-two".