101666440 has 64 divisors (see below), whose sum is σ = 242870400. Its totient is φ = 38218752.

The previous prime is 101666419. The next prime is 101666441. The reversal of 101666440 is 44666101.

It is a junction number, because it is equal to n+sod(n) for n = 101666399 and 101666408.

It is not an unprimeable number, because it can be changed into a prime (101666441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53344 + ... + 55216.

It is an arithmetic number, because the mean of its divisors is an integer number (3794850).

Almost surely, 2^101666440 is an apocalyptic number.

101666440 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 101666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121435200).

101666440 is an abundant number, since it is smaller than the sum of its proper divisors (141203960).

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

101666440 is a wasteful number, since it uses less digits than its factorization.

101666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 101666440 is about 10082.9777347766. The cubic root of 101666440 is about 466.7230022692.

The spelling of 101666440 in words is "one hundred one million, six hundred sixty-six thousand, four hundred forty".