101027664 has 30 divisors (see below), whose sum is σ = 282737546. Its totient is φ = 33675840.

The previous prime is 101027639. The next prime is 101027671. The reversal of 101027664 is 466720101.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 627264 = 10020^2 + 792^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350647 + ... + 350934.

Almost surely, 2^101027664 is an apocalyptic number.

It is an amenable number.

101027664 is an abundant number, since it is smaller than the sum of its proper divisors (181709882).

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

101027664 is a wasteful number, since it uses less digits than its factorization.

101027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701595 (or 701586 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101027664 is about 10051.2518623304. The cubic root of 101027664 is about 465.7434655495.

Adding to 101027664 its reverse (466720101), we get a palindrome (567747765).

It can be divided in two parts, 10102 and 7664, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 101027664 in words is "one hundred one million, twenty-seven thousand, six hundred sixty-four".