106125894 has 48 divisors (see below), whose sum is σ = 263716128. Its totient is φ = 30214656.

The previous prime is 106125893. The next prime is 106125907. The reversal of 106125894 is 498521601.

106125894 is a `hidden beast` number, since 10 + 61 + 2 + 589 + 4 = 666.

It is a super-2 number, since 2×106125894² = 22525410754598472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125893) 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 23 ways as a sum of consecutive naturals, for example, 38614 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (5494086).

Almost surely, 2^106125894 is an apocalyptic number.

106125894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106125894 is an abundant number, since it is smaller than the sum of its proper divisors (157590234).

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

106125894 is a wasteful number, since it uses less digits than its factorization.

106125894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106125894 is about 10301.7422798282. The cubic root of 106125894 is about 473.4496362801.

The spelling of 106125894 in words is "one hundred six million, one hundred twenty-five thousand, eight hundred ninety-four".