101666840 has 64 divisors (see below), whose sum is σ = 250884000. Its totient is φ = 36771840.

The previous prime is 101666821. The next prime is 101666857. The reversal of 101666840 is 48666101.

It is a happy number.

It is a super-2 number, since 2×101666840² = 20672292711171200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101666797 and 101666806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100256 + ... + 101264.

Almost surely, 2^101666840 is an apocalyptic number.

101666840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101666840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125442000).

101666840 is an abundant number, since it is smaller than the sum of its proper divisors (149217160).

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

101666840 is a wasteful number, since it uses less digits than its factorization.

101666840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 101666840 is about 10082.9975701673. The cubic root of 101666840 is about 466.7236143655.

The spelling of 101666840 in words is "one hundred one million, six hundred sixty-six thousand, eight hundred forty".