106431975 has 90 divisors (see below), whose sum is σ = 214167096. Its totient is φ = 52228800.

The previous prime is 106431967. The next prime is 106432013. The reversal of 106431975 is 579134601.

106431975 is a `hidden beast` number, since 1 + 0 + 643 + 1 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 106431975 - 2³ = 106431967 is a prime.

It is a super-2 number, since 2×106431975² = 22655530604801250, 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 89 ways as a sum of consecutive naturals, for example, 342070 + ... + 342380.

Almost surely, 2^106431975 is an apocalyptic number.

106431975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106431975 is an abundant number, since it is smaller than the sum of its proper divisors (107735121).

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

106431975 is a wasteful number, since it uses less digits than its factorization.

106431975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106431975 is about 10316.5873718008. The cubic root of 106431975 is about 473.9043630156.

The spelling of 106431975 in words is "one hundred six million, four hundred thirty-one thousand, nine hundred seventy-five".