101114640 has 240 divisors, whose sum is σ = 392760576. Its totient is φ = 23040000.

The previous prime is 101114639. The next prime is 101114687. The reversal of 101114640 is 46411101.

101114640 is a `hidden beast` number, since 1 + 0 + 11 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134265 + ... + 135015.

Almost surely, 2^101114640 is an apocalyptic number.

101114640 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 101114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196380288).

101114640 is an abundant number, since it is smaller than the sum of its proper divisors (291645936).

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

101114640 is a wasteful number, since it uses less digits than its factorization.

101114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101114640 is about 10055.5775567592. The cubic root of 101114640 is about 465.8770820358.

Adding to 101114640 its reverse (46411101), we get a palindrome (147525741).

It can be divided in two parts, 1011 and 14640, that added together give a palindrome (15651).

The spelling of 101114640 in words is "one hundred one million, one hundred fourteen thousand, six hundred forty".