100209089832768 has 896 divisors, whose sum is σ = 377932118261760. Its totient is φ = 25372861562880.

The previous prime is 100209089832767. The next prime is 100209089832769. The reversal of 100209089832768 is 867238980902001.

100209089832768 is a `hidden beast` number, since 1 + 0 + 0 + 209 + 0 + 89 + 83 + 276 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (100209089832767) and next prime (100209089832769).

It is a super-2 number, since 2×100209089832768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100209089832767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235647471 + ... + 236072337.

Almost surely, 2^{100209089832768} is an apocalyptic number.

100209089832768 is a gapful number since it is divisible by the number (18) 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 100209089832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188966059130880).

100209089832768 is an abundant number, since it is smaller than the sum of its proper divisors (277723028428992).

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

100209089832768 is a wasteful number, since it uses less digits than its factorization.

100209089832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424980 (or 424964 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 100209089832768 in words is "one hundred trillion, two hundred nine billion, eighty-nine million, eight hundred thirty-two thousand, seven hundred sixty-eight".