101145784320 has 624 divisors, whose sum is σ = 418405453920. Its totient is φ = 23112843264.

The previous prime is 101145784319. The next prime is 101145784379. The reversal of 101145784320 is 23487541101.

101145784320 is a `hidden beast` number, since 10 + 1 + 14 + 578 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27093174 + ... + 27096906.

Almost surely, 2^101145784320 is an apocalyptic number.

101145784320 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 101145784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209202726960).

101145784320 is an abundant number, since it is smaller than the sum of its proper divisors (317259669600).

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

101145784320 is an equidigital number, since it uses as much as digits as its factorization.

101145784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 101145784320 in words is "one hundred one billion, one hundred forty-five million, seven hundred eighty-four thousand, three hundred twenty".