101666560 has 36 divisors (see below), whose sum is σ = 243526248. Its totient is φ = 40666112.

The previous prime is 101666557. The next prime is 101666563. The reversal of 101666560 is 65666101.

It is an interprime number because it is at equal distance from previous prime (101666557) and next prime (101666563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666563) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38434 + ... + 40993.

It is an arithmetic number, because the mean of its divisors is an integer number (6764618).

Almost surely, 2^101666560 is an apocalyptic number.

101666560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101666560 is an abundant number, since it is smaller than the sum of its proper divisors (141859688).

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

101666560 is an frugal number, since it uses more digits than its factorization.

101666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79448 (or 79434 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 101666560 is about 10082.9836853979. The cubic root of 101666560 is about 466.7231858983.

It can be divided in two parts, 1016 and 66560, that added together give a palindrome (67576).

The spelling of 101666560 in words is "one hundred one million, six hundred sixty-six thousand, five hundred sixty".