101813640 has 128 divisors (see below), whose sum is σ = 327663360. Its totient is φ = 25242624.

The previous prime is 101813639. The next prime is 101813651. The reversal of 101813640 is 46318101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101813640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101622 + ... + 102618.

It is an arithmetic number, because the mean of its divisors is an integer number (2559870).

Almost surely, 2^101813640 is an apocalyptic number.

101813640 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 101813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163831680).

101813640 is an abundant number, since it is smaller than the sum of its proper divisors (225849720).

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

101813640 is a wasteful number, since it uses less digits than its factorization.

101813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101813640 is about 10090.2745255023. The cubic root of 101813640 is about 466.9481453795.

The spelling of 101813640 in words is "one hundred one million, eight hundred thirteen thousand, six hundred forty".