101165754816 has 560 divisors, whose sum is σ = 356888125440. Its totient is φ = 27724032000.

The previous prime is 101165754769. The next prime is 101165754853. The reversal of 101165754816 is 618457561101.

101165754816 is a `hidden beast` number, since 1 + 0 + 1 + 165 + 7 + 5 + 481 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 264140161 + ... + 264140543.

It is an arithmetic number, because the mean of its divisors is an integer number (637300224).

Almost surely, 2^101165754816 is an apocalyptic number.

101165754816 is a gapful number since it is divisible by the number (16) 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 101165754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178444062720).

101165754816 is an abundant number, since it is smaller than the sum of its proper divisors (255722370624).

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

101165754816 is a wasteful number, since it uses less digits than its factorization.

101165754816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 101165754816 in words is "one hundred one billion, one hundred sixty-five million, seven hundred fifty-four thousand, eight hundred sixteen".