105555510342 has 16 divisors (see below), whose sum is σ = 234567800880. Its totient is φ = 35185170096.

The previous prime is 105555510283. The next prime is 105555510349. The reversal of 105555510342 is 243015555501.

105555510342 is a `hidden beast` number, since 1 + 0 + 55 + 55 + 510 + 3 + 42 = 666.

It is a super-2 number, since 2×105555510342² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105555510297 and 105555510306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105555510349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977365783 + ... + 977365890.

It is an arithmetic number, because the mean of its divisors is an integer number (14660487555).

Almost surely, 2^105555510342 is an apocalyptic number.

105555510342 is an abundant number, since it is smaller than the sum of its proper divisors (129012290538).

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

105555510342 is a wasteful number, since it uses less digits than its factorization.

105555510342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954731684 (or 1954731678 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 105555510342 in words is "one hundred five billion, five hundred fifty-five million, five hundred ten thousand, three hundred forty-two".