100747257663360 has 1536 divisors, whose sum is σ = 425234062310400. Its totient is φ = 19804815360000.

The previous prime is 100747257663359. The next prime is 100747257663373. The reversal of 100747257663360 is 63366752747001.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 100747257663360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27221629510 + ... + 27221633210.

It is an arithmetic number, because the mean of its divisors is an integer number (276845092650).

Almost surely, 2^{100747257663360} is an apocalyptic number.

100747257663360 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 100747257663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212617031155200).

100747257663360 is an abundant number, since it is smaller than the sum of its proper divisors (324486804647040).

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

100747257663360 is a wasteful number, since it uses less digits than its factorization.

100747257663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 57.

The spelling of 100747257663360 in words is "one hundred trillion, seven hundred forty-seven billion, two hundred fifty-seven million, six hundred sixty-three thousand, three hundred sixty".