101666352 has 20 divisors (see below), whose sum is σ = 262638200. Its totient is φ = 33888768.

The previous prime is 101666351. The next prime is 101666353. The reversal of 101666352 is 253666101.

It is an interprime number because it is at equal distance from previous prime (101666351) and next prime (101666353).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101666351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1058977 + ... + 1059072.

It is an arithmetic number, because the mean of its divisors is an integer number (13131910).

Almost surely, 2^101666352 is an apocalyptic number.

101666352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101666352 is an abundant number, since it is smaller than the sum of its proper divisors (160971848).

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

101666352 is a wasteful number, since it uses less digits than its factorization.

101666352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118060 (or 2118054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 101666352 is about 10082.9733709854. The cubic root of 101666352 is about 466.7228676078.

The spelling of 101666352 in words is "one hundred one million, six hundred sixty-six thousand, three hundred fifty-two".