100111717104 has 160 divisors (see below), whose sum is σ = 307789347840. Its totient is φ = 27433728000.

The previous prime is 100111717103. The next prime is 100111717109. The reversal of 100111717104 is 401717111001.

100111717104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100111717104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111717103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437324 + ... + 1505364.

It is an arithmetic number, because the mean of its divisors is an integer number (1923683424).

Almost surely, 2^100111717104 is an apocalyptic number.

100111717104 is a gapful number since it is divisible by the number (14) 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 100111717104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153894673920).

100111717104 is an abundant number, since it is smaller than the sum of its proper divisors (207677630736).

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

100111717104 is a wasteful number, since it uses less digits than its factorization.

100111717104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68239 (or 68233 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 24.

Adding to 100111717104 its reverse (401717111001), we get a palindrome (501828828105).

The spelling of 100111717104 in words is "one hundred billion, one hundred eleven million, seven hundred seventeen thousand, one hundred four".