107162434021041 has 243 divisors, whose sum is σ = 193796434862667. Its totient is φ = 56884263932160.

The previous prime is 107162434021039. The next prime is 107162434021081. The reversal of 107162434021041 is 140120434261701.

The square root of 107162434021041 is 10351929.

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

107162434021041 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 2 + 434 + 0 + 210 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83430960743025 + 23731473278016 = 9134055^2 + 4871496^2 .

It is not a de Polignac number, because 107162434021041 - 2¹ = 107162434021039 is a prime.

It is a super-2 number, since 2×107162434021041² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107162434020987 and 107162434021005.

It is not an unprimeable number, because it can be changed into a prime (107162434021031) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 395433335736 + ... + 395433336006.

Almost surely, 2^{107162434021041} is an apocalyptic number.

107162434021041 is the 10351929-th square number.

107162434021041 is the 5175965-th centered octagonal number.

It is an amenable number.

107162434021041 is a deficient number, since it is larger than the sum of its proper divisors (86634000841626).

107162434021041 is an equidigital number, since it uses as much as digits as its factorization.

107162434021041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 107162434021041 its reverse (140120434261701), we get a palindrome (247282868282742).

The spelling of 107162434021041 in words is "one hundred seven trillion, one hundred sixty-two billion, four hundred thirty-four million, twenty-one thousand, forty-one".