106175641 has 16 divisors (see below), whose sum is σ = 129044160. Its totient is φ = 86022720.

The previous prime is 106175627. The next prime is 106175677. The reversal of 106175641 is 146571601.

It is a cyclic number.

It is not a de Polignac number, because 106175641 - 2⁷ = 106175513 is a prime.

It is a super-2 number, since 2×106175641² = 22546533483521762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106175141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8655 + ... + 16948.

It is an arithmetic number, because the mean of its divisors is an integer number (8065260).

Almost surely, 2^106175641 is an apocalyptic number.

106175641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106175641 is a deficient number, since it is larger than the sum of its proper divisors (22868519).

106175641 is a wasteful number, since it uses less digits than its factorization.

106175641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25656.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 106175641 is about 10304.1564914359. The cubic root of 106175641 is about 473.5236019542.

The spelling of 106175641 in words is "one hundred six million, one hundred seventy-five thousand, six hundred forty-one".