105673851136 has 144 divisors (see below), whose sum is σ = 244303589376. Its totient is φ = 44685139968.

The previous prime is 105673851133. The next prime is 105673851137. The reversal of 105673851136 is 631158376501.

It is a super-2 number, since 2×105673851136² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105673851133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44832870 + ... + 44835226.

It is an arithmetic number, because the mean of its divisors is an integer number (1696552704).

Almost surely, 2^105673851136 is an apocalyptic number.

105673851136 is a gapful number since it is divisible by the number (16) 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 105673851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122151794688).

105673851136 is an abundant number, since it is smaller than the sum of its proper divisors (138629738240).

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

105673851136 is a wasteful number, since it uses less digits than its factorization.

105673851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 105673851136 in words is "one hundred five billion, six hundred seventy-three million, eight hundred fifty-one thousand, one hundred thirty-six".