100657161 has 24 divisors (see below), whose sum is σ = 164490144. Its totient is φ = 61002720.

The previous prime is 100657159. The next prime is 100657163. The reversal of 100657161 is 161756001.

100657161 is a `hidden beast` number, since 1 + 0 + 0 + 657 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100657159) and next prime (100657163).

It is not a de Polignac number, because 100657161 - 2¹ = 100657159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100657163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16156 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (6853756).

Almost surely, 2^100657161 is an apocalyptic number.

100657161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100657161 is a deficient number, since it is larger than the sum of its proper divisors (63832983).

100657161 is an equidigital number, since it uses as much as digits as its factorization.

100657161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37683 (or 37671 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100657161 is about 10032.8042440785. The cubic root of 100657161 is about 465.1734212668.

The spelling of 100657161 in words is "one hundred million, six hundred fifty-seven thousand, one hundred sixty-one".