100109697235968 has 1056 divisors, whose sum is σ = 346395569756160. Its totient is φ = 25513680568320.

The previous prime is 100109697235939. The next prime is 100109697235969. The reversal of 100109697235968 is 869532796901001.

It is a junction number, because it is equal to n+sod(n) for n = 100109697235899 and 100109697235908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100109697235969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3280441446 + ... + 3280471962.

Almost surely, 2^{100109697235968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100109697235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173197784878080).

100109697235968 is an abundant number, since it is smaller than the sum of its proper divisors (246285872520192).

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

100109697235968 is a wasteful number, since it uses less digits than its factorization.

100109697235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30641 (or 30616 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 100109697235968 in words is "one hundred trillion, one hundred nine billion, six hundred ninety-seven million, two hundred thirty-five thousand, nine hundred sixty-eight".