105742962128 has 20 divisors (see below), whose sum is σ = 204899351748. Its totient is φ = 52865710080.

The previous prime is 105742962043. The next prime is 105742962133. The reversal of 105742962128 is 821269247501.

It can be written as a sum of positive squares in 2 ways, for example, as 101065496464 + 4677465664 = 317908^2 + 68392^2 .

It is a super-2 number, since 2×105742962128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207551 + ... + 504542.

Almost surely, 2^105742962128 is an apocalyptic number.

It is an amenable number.

105742962128 is a deficient number, since it is larger than the sum of its proper divisors (99156389620).

105742962128 is an equidigital number, since it uses as much as digits as its factorization.

105742962128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721382 (or 721376 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 105742962128 in words is "one hundred five billion, seven hundred forty-two million, nine hundred sixty-two thousand, one hundred twenty-eight".