105231242120 has 32 divisors (see below), whose sum is σ = 236799794520. Its totient is φ = 42087252480.

The previous prime is 105231242119. The next prime is 105231242201. The reversal of 105231242120 is 21242132501.

105231242120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61382044516 + 43849197604 = 247754^2 + 209402^2 .

It is a super-2 number, since 2×105231242120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169550 + ... + 489090.

Almost surely, 2^105231242120 is an apocalyptic number.

105231242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105231242120 is an abundant number, since it is smaller than the sum of its proper divisors (131568552400).

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

105231242120 is a wasteful number, since it uses less digits than its factorization.

105231242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327785 (or 327781 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 105231242120 its reverse (21242132501), we get a palindrome (126473374621).

The spelling of 105231242120 in words is "one hundred five billion, two hundred thirty-one million, two hundred forty-two thousand, one hundred twenty".