101064161 has 8 divisors (see below), whose sum is σ = 111164448. Its totient is φ = 91875300.

The previous prime is 101064143. The next prime is 101064191. The reversal of 101064161 is 161460101.

It is not a de Polignac number, because 101064161 - 2¹⁸ = 100802017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101064121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36635 + ... + 39296.

It is an arithmetic number, because the mean of its divisors is an integer number (13895556).

Almost surely, 2^101064161 is an apocalyptic number.

101064161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101064161 is a deficient number, since it is larger than the sum of its proper divisors (10100287).

101064161 is an frugal number, since it uses more digits than its factorization.

101064161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75964 (or 75942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101064161 is about 10053.0672433840. The cubic root of 101064161 is about 465.7995432352.

The spelling of 101064161 in words is "one hundred one million, sixty-four thousand, one hundred sixty-one".