105961488342 has 64 divisors (see below), whose sum is σ = 227409721344. Its totient is φ = 32797716480.

The previous prime is 105961488331. The next prime is 105961488343. The reversal of 105961488342 is 243884169501.

105961488342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105961488342² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105961488343) 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, 2828518 + ... + 2865734.

It is an arithmetic number, because the mean of its divisors is an integer number (3553276896).

Almost surely, 2^105961488342 is an apocalyptic number.

105961488342 is an abundant number, since it is smaller than the sum of its proper divisors (121448233002).

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

105961488342 is a wasteful number, since it uses less digits than its factorization.

105961488342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37613.

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 105961488342 in words is "one hundred five billion, nine hundred sixty-one million, four hundred eighty-eight thousand, three hundred forty-two".