105351101442 has 40 divisors (see below), whose sum is σ = 242444640636. Its totient is φ = 34167922848.

The previous prime is 105351101441. The next prime is 105351101461. The reversal of 105351101442 is 244101153501.

105351101442 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 511 + 0 + 144 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77745611241 + 27605490201 = 278829^2 + 166149^2 .

It is a super-2 number, since 2×105351101442² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105351101441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8782053 + ... + 8794040.

Almost surely, 2^105351101442 is an apocalyptic number.

105351101442 is an abundant number, since it is smaller than the sum of its proper divisors (137093539194).

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

105351101442 is a wasteful number, since it uses less digits than its factorization.

105351101442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17576144 (or 17576135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105351101442 its reverse (244101153501), we get a palindrome (349452254943).

The spelling of 105351101442 in words is "one hundred five billion, three hundred fifty-one million, one hundred one thousand, four hundred forty-two".