101366640 has 100 divisors (see below), whose sum is σ = 352083864. Its totient is φ = 27029376.

The previous prime is 101366611. The next prime is 101366641. The reversal of 101366640 is 46663101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101366641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1342 + ... + 14301.

Almost surely, 2^101366640 is an apocalyptic number.

101366640 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 101366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176041932).

101366640 is an abundant number, since it is smaller than the sum of its proper divisors (250717224).

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

101366640 is a wasteful number, since it uses less digits than its factorization.

101366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 101366640 is about 10068.1001186917. The cubic root of 101366640 is about 466.2637838024.

The spelling of 101366640 in words is "one hundred one million, three hundred sixty-six thousand, six hundred forty".