106125492 has 48 divisors (see below), whose sum is σ = 286034112. Its totient is φ = 30266880.

The previous prime is 106125463. The next prime is 106125499. The reversal of 106125492 is 294521601.

It is a super-2 number, since 2×106125492² = 22525240104484128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125499) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21403 + ... + 25890.

It is an arithmetic number, because the mean of its divisors is an integer number (5959044).

Almost surely, 2^106125492 is an apocalyptic number.

106125492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106125492 is an abundant number, since it is smaller than the sum of its proper divisors (179908620).

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

106125492 is a wasteful number, since it uses less digits than its factorization.

106125492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47328 (or 47326 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106125492 is about 10301.7227685470. The cubic root of 106125492 is about 473.4490384775.

The spelling of 106125492 in words is "one hundred six million, one hundred twenty-five thousand, four hundred ninety-two".