105116465142 has 72 divisors (see below), whose sum is σ = 249391045800. Its totient is φ = 31980034944.

The previous prime is 105116465141. The next prime is 105116465147. The reversal of 105116465142 is 241564611501.

105116465142 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 646 + 5 + 1 + 4 + 2 = 666.

It is a super-2 number, since 2×105116465142² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116465097 and 105116465106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116465141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76609 + ... + 464867.

It is an arithmetic number, because the mean of its divisors is an integer number (3463764525).

Almost surely, 2^105116465142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105116465142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124695522900).

105116465142 is an abundant number, since it is smaller than the sum of its proper divisors (144274580658).

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

105116465142 is a wasteful number, since it uses less digits than its factorization.

105116465142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388382 (or 388366 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 105116465142 in words is "one hundred five billion, one hundred sixteen million, four hundred sixty-five thousand, one hundred forty-two".