105162340040 has 16 divisors (see below), whose sum is σ = 236615265180. Its totient is φ = 42064936000.

The previous prime is 105162340039. The next prime is 105162340061. The reversal of 105162340040 is 40043261501.

It can be written as a sum of positive squares in 2 ways, for example, as 101963985124 + 3198354916 = 319318^2 + 56554^2 .

It is a super-2 number, since 2×105162340040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105162339991 and 105162340009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314529211 + ... + 1314529290.

Almost surely, 2^105162340040 is an apocalyptic number.

105162340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105162340040 is an abundant number, since it is smaller than the sum of its proper divisors (131452925140).

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

105162340040 is a wasteful number, since it uses less digits than its factorization.

105162340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629058512 (or 2629058508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 105162340040 in words is "one hundred five billion, one hundred sixty-two million, three hundred forty thousand, forty".