106361892 has 72 divisors (see below), whose sum is σ = 330913856. Its totient is φ = 28050624.

The previous prime is 106361881. The next prime is 106361903. The reversal of 106361892 is 298163601.

106361892 is a `hidden beast` number, since 1 + 0 + 636 + 18 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106361881) and next prime (106361903).

It is a super-2 number, since 2×106361892² = 22625704139639328, 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 23 ways as a sum of consecutive naturals, for example, 12958 + ... + 19509.

Almost surely, 2^106361892 is an apocalyptic number.

106361892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106361892 is an abundant number, since it is smaller than the sum of its proper divisors (224551964).

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

106361892 is a wasteful number, since it uses less digits than its factorization.

106361892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32492 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106361892 is about 10313.1901950851. The cubic root of 106361892 is about 473.8003218128.

The spelling of 106361892 in words is "one hundred six million, three hundred sixty-one thousand, eight hundred ninety-two".