105105611104 has 192 divisors, whose sum is σ = 237750170112. Its totient is φ = 45386956800.

The previous prime is 105105611101. The next prime is 105105611113. The reversal of 105105611104 is 401116501501.

It is a super-2 number, since 2×105105611104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105611101) 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, 86363904 + ... + 86365120.

It is an arithmetic number, because the mean of its divisors is an integer number (1238282136).

Almost surely, 2^105105611104 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 105105611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118875085056).

105105611104 is an abundant number, since it is smaller than the sum of its proper divisors (132644559008).

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

105105611104 is a wasteful number, since it uses less digits than its factorization.

105105611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 105105611104 in words is "one hundred five billion, one hundred five million, six hundred eleven thousand, one hundred four".