107440383961 has 9 divisors (see below), whose sum is σ = 107831532861. Its totient is φ = 107050652352.

The previous prime is 107440383959. The next prime is 107440383971. The reversal of 107440383961 is 169383044701.

The square root of 107440383961 is 327781.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10955599561 + 96484784400 = 104669^2 + 310620^2 .

It is not a de Polignac number, because 107440383961 - 2¹ = 107440383959 is a prime.

It is a super-2 number, since 2×107440383961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107440383971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 141928795 + ... + 141929551.

It is an arithmetic number, because the mean of its divisors is an integer number (11981281429).

Almost surely, 2^107440383961 is an apocalyptic number.

107440383961 is the 327781-st square number.

107440383961 is the 163891-st centered octagonal number.

It is an amenable number.

107440383961 is a deficient number, since it is larger than the sum of its proper divisors (391148900).

107440383961 is an frugal number, since it uses more digits than its factorization.

107440383961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

It can be divided in two parts, 107440 and 383961, that added together give a square (491401 = 701²).

The spelling of 107440383961 in words is "one hundred seven billion, four hundred forty million, three hundred eighty-three thousand, nine hundred sixty-one".