166168101 has 16 divisors (see below), whose sum is σ = 243307008. Its totient is φ = 100038000.

The previous prime is 166168099. The next prime is 166168103. The reversal of 166168101 is 101861661.

It is a happy number.

166168101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166168099) and next prime (166168103).

It is not a de Polignac number, because 166168101 - 2¹ = 166168099 is a prime.

It is a super-2 number, since 2×166168101² = 55223675579892402, which contains 22 as substring.

166168101 is a modest number, since divided by 68101 gives 1661 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166168103) 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, 11691 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (15206688).

Almost surely, 2^166168101 is an apocalyptic number.

166168101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166168101 is a deficient number, since it is larger than the sum of its proper divisors (77138907).

166168101 is a wasteful number, since it uses less digits than its factorization.

166168101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33512.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 166168101 is about 12890.6206599993. The cubic root of 166168101 is about 549.7719175496.

The spelling of 166168101 in words is "one hundred sixty-six million, one hundred sixty-eight thousand, one hundred one".