107542230246049 has 27 divisors (see below), whose sum is σ = 113809479416019. Its totient is φ = 101605289224320.

The previous prime is 107542230246019. The next prime is 107542230246053. The reversal of 107542230246049 is 940642032245701.

The square root of 107542230246049 is 10370257.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35194140976225 + 72348089269824 = 5932465^2 + 8505768^2 .

It is not a de Polignac number, because 107542230246049 - 2⁹ = 107542230245537 is a prime.

It is a super-2 number, since 2×107542230246049² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107542230245993 and 107542230246011.

It is not an unprimeable number, because it can be changed into a prime (107542230246019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132604475854 + ... + 132604476664.

It is an arithmetic number, because the mean of its divisors is an integer number (4215165904297).

Almost surely, 2^{107542230246049} is an apocalyptic number.

107542230246049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

107542230246049 is the 10370257-th square number.

107542230246049 is the 5185129-th centered octagonal number.

It is an amenable number.

107542230246049 is a deficient number, since it is larger than the sum of its proper divisors (6267249169970).

107542230246049 is an frugal number, since it uses more digits than its factorization.

107542230246049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 107542230246049 in words is "one hundred seven trillion, five hundred forty-two billion, two hundred thirty million, two hundred forty-six thousand, forty-nine".