106127892 has 36 divisors (see below), whose sum is σ = 288904980. Its totient is φ = 32654592.

The previous prime is 106127881. The next prime is 106127899. The reversal of 106127892 is 298721601.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 94595076 = 3396^2 + 9726^2 .

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

It is a super-2 number, since 2×106127892² = 22526258920727328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106127899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112917 + ... + 113852.

Almost surely, 2^106127892 is an apocalyptic number.

106127892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106127892 is an abundant number, since it is smaller than the sum of its proper divisors (182777088).

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

106127892 is a wasteful number, since it uses less digits than its factorization.

106127892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226792 (or 226787 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106127892 is about 10301.8392532596. The cubic root of 106127892 is about 473.4526074256.

The spelling of 106127892 in words is "one hundred six million, one hundred twenty-seven thousand, eight hundred ninety-two".