100968392191680 has 1344 divisors, whose sum is σ = 390244593997440. Its totient is φ = 23797480292352.

The previous prime is 100968392191673. The next prime is 100968392191763. The reversal of 100968392191680 is 86191293869001.

100968392191680 is a `hidden beast` number, since 10 + 0 + 9 + 68 + 392 + 19 + 168 + 0 = 666.

It is a super-2 number, since 2×100968392191680² (a number of 29 digits) contains 22 as substring.

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, 62596646554 + ... + 62596648166.

It is an arithmetic number, because the mean of its divisors is an integer number (290360561010).

Almost surely, 2^{100968392191680} is an apocalyptic number.

100968392191680 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 100968392191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195122296998720).

100968392191680 is an abundant number, since it is smaller than the sum of its proper divisors (289276201805760).

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

100968392191680 is a wasteful number, since it uses less digits than its factorization.

100968392191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 100968392191680 in words is "one hundred trillion, nine hundred sixty-eight billion, three hundred ninety-two million, one hundred ninety-one thousand, six hundred eighty".