101764640 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 39297024.

The previous prime is 101764633. The next prime is 101764651. The reversal of 101764640 is 46467101.

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, 1049072 + ... + 1049168.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^101764640 is an apocalyptic number.

101764640 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 101764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

101764640 is an abundant number, since it is smaller than the sum of its proper divisors (147171040).

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

101764640 is an equidigital number, since it uses as much as digits as its factorization.

101764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 101764640 is about 10087.8461526730. The cubic root of 101764640 is about 466.8732237525.

The spelling of 101764640 in words is "one hundred one million, seven hundred sixty-four thousand, six hundred forty".