105900940242 has 32 divisors (see below), whose sum is σ = 241075316160. Its totient is φ = 34439329440.

The previous prime is 105900940219. The next prime is 105900940247. The reversal of 105900940242 is 242049009501.

105900940242 is a `hidden beast` number, since 1 + 0 + 590 + 0 + 9 + 40 + 24 + 2 = 666.

It is a super-2 number, since 2×105900940242² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105900940197 and 105900940206.

It is not an unprimeable number, because it can be changed into a prime (105900940247) 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, 23913988 + ... + 23918415.

It is an arithmetic number, because the mean of its divisors is an integer number (7533603630).

Almost surely, 2^105900940242 is an apocalyptic number.

105900940242 is an abundant number, since it is smaller than the sum of its proper divisors (135174375918).

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

105900940242 is a wasteful number, since it uses less digits than its factorization.

105900940242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47832455 (or 47832449 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 105900940242 its reverse (242049009501), we get a palindrome (347949949743).

The spelling of 105900940242 in words is "one hundred five billion, nine hundred million, nine hundred forty thousand, two hundred forty-two".