101664801 has 40 divisors (see below), whose sum is σ = 182719680. Its totient is φ = 55030752.

The previous prime is 101664799. The next prime is 101664803. The reversal of 101664801 is 108466101.

101664801 is a `hidden beast` number, since 1 + 0 + 16 + 648 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101664799) and next prime (101664803).

It is not a de Polignac number, because 101664801 - 2¹ = 101664799 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 (101664803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6055 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (4567992).

Almost surely, 2^101664801 is an apocalyptic number.

It is an amenable number.

101664801 is a deficient number, since it is larger than the sum of its proper divisors (81054879).

101664801 is an equidigital number, since it uses as much as digits as its factorization.

101664801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101664801 is about 10082.8964588555. The cubic root of 101664801 is about 466.7204941879.

The spelling of 101664801 in words is "one hundred one million, six hundred sixty-four thousand, eight hundred one".