106095688 has 64 divisors (see below), whose sum is σ = 219024000. Its totient is φ = 48018432.

The previous prime is 106095679. The next prime is 106095697. The reversal of 106095688 is 886590601.

It is an interprime number because it is at equal distance from previous prime (106095679) and next prime (106095697).

It is a super-2 number, since 2×106095688² = 22512590024386688, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 314656 + ... + 314992.

It is an arithmetic number, because the mean of its divisors is an integer number (3422250).

Almost surely, 2^106095688 is an apocalyptic number.

It is an amenable number.

106095688 is an abundant number, since it is smaller than the sum of its proper divisors (112928312).

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

106095688 is a wasteful number, since it uses less digits than its factorization.

106095688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 106095688 is about 10300.2761128040. The cubic root of 106095688 is about 473.4047136063.

The spelling of 106095688 in words is "one hundred six million, ninety-five thousand, six hundred eighty-eight".