101365668 has 30 divisors (see below), whose sum is σ = 264990726. Its totient is φ = 33788448.

The previous prime is 101365651. The next prime is 101365687. The reversal of 101365668 is 866563101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 1205604 = 10008^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156105 + ... + 156752.

Almost surely, 2^101365668 is an apocalyptic number.

101365668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101365668 is an abundant number, since it is smaller than the sum of its proper divisors (163625058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101365668 is a wasteful number, since it uses less digits than its factorization.

101365668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312873 (or 312862 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 101365668 is about 10068.0518473039. The cubic root of 101365668 is about 466.2622934703.

The spelling of 101365668 in words is "one hundred one million, three hundred sixty-five thousand, six hundred sixty-eight".