100886676823696 has 135 divisors (see below), whose sum is σ = 207472991679171. Its totient is φ = 47517593084352.

The previous prime is 100886676823693. The next prime is 100886676823727. The reversal of 100886676823696 is 696328676688001.

The square root of 100886676823696 is 10044236.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (100886676823693) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216031427655 + ... + 216031428121.

Almost surely, 2^{100886676823696} is an apocalyptic number.

100886676823696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100886676823696 is the 10044236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100886676823696

100886676823696 is an abundant number, since it is smaller than the sum of its proper divisors (106586314855475).

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

100886676823696 is an frugal number, since it uses more digits than its factorization.

100886676823696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 76.

The spelling of 100886676823696 in words is "one hundred trillion, eight hundred eighty-six billion, six hundred seventy-six million, eight hundred twenty-three thousand, six hundred ninety-six".