105032315142 has 32 divisors (see below), whose sum is σ = 234424408800. Its totient is φ = 34857882144.

The previous prime is 105032315117. The next prime is 105032315149. The reversal of 105032315142 is 241513230501.

105032315142 is a `hidden beast` number, since 1 + 0 + 503 + 2 + 3 + 15 + 142 = 666.

It is a super-2 number, since 2×105032315142² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032315149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234453 + ... + 4259184.

It is an arithmetic number, because the mean of its divisors is an integer number (7325762775).

Almost surely, 2^105032315142 is an apocalyptic number.

105032315142 is an abundant number, since it is smaller than the sum of its proper divisors (129392093658).

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

105032315142 is a wasteful number, since it uses less digits than its factorization.

105032315142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493877 (or 8493871 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105032315142 its reverse (241513230501), we get a palindrome (346545545643).

The spelling of 105032315142 in words is "one hundred five billion, thirty-two million, three hundred fifteen thousand, one hundred forty-two".