100111704000 has 1344 divisors, whose sum is σ = 429308605440. Its totient is φ = 20321280000.

The previous prime is 100111703999. The next prime is 100111704001. The reversal of 100111704000 is 407111001.

It is an interprime number because it is at equal distance from previous prime (100111703999) and next prime (100111704001).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111704001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 918455946 + ... + 918456054.

Almost surely, 2^100111704000 is an apocalyptic number.

100111704000 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 100111704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214654302720).

100111704000 is an abundant number, since it is smaller than the sum of its proper divisors (329196901440).

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

100111704000 is a wasteful number, since it uses less digits than its factorization.

100111704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 100111704000 its reverse (407111001), we get a palindrome (100518815001).

The spelling of 100111704000 in words is "one hundred billion, one hundred eleven million, seven hundred four thousand".