10111434810804 has 144 divisors (see below), whose sum is σ = 27132362712000. Its totient is φ = 3166139363328.

The previous prime is 10111434810797. The next prime is 10111434810859. The reversal of 10111434810804 is 40801843411101.

It is a happy number.

10111434810804 is a `hidden beast` number, since 1 + 0 + 111 + 434 + 8 + 108 + 0 + 4 = 666.

It is a super-2 number, since 2×10111434810804² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58719559 + ... + 58891505.

It is an arithmetic number, because the mean of its divisors is an integer number (188419185500).

Almost surely, 2^{10111434810804} 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 10111434810804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566181356000).

10111434810804 is an abundant number, since it is smaller than the sum of its proper divisors (17020927901196).

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

10111434810804 is a wasteful number, since it uses less digits than its factorization.

10111434810804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172702 (or 172697 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10111434810804 in words is "ten trillion, one hundred eleven billion, four hundred thirty-four million, eight hundred ten thousand, eight hundred four".