107763162529 has 15 divisors (see below), whose sum is σ = 118582451715. Its totient is φ = 97930401360.

The previous prime is 107763162511. The next prime is 107763162541. The reversal of 107763162529 is 925261367701.

The square root of 107763162529 is 328273.

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., 106337949025 + 1425213504 = 326095^2 + 37752^2 .

It is not a de Polignac number, because 107763162529 - 2¹⁹ = 107762638241 is a prime.

It is a super-2 number, since 2×107763162529² (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 (107763162569) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39719677 + ... + 39722389.

It is an arithmetic number, because the mean of its divisors is an integer number (7905496781).

Almost surely, 2^107763162529 is an apocalyptic number.

107763162529 is the 328273-rd square number.

107763162529 is the 164137-th centered octagonal number.

It is an amenable number.

107763162529 is a deficient number, since it is larger than the sum of its proper divisors (10819289186).

107763162529 is an frugal number, since it uses more digits than its factorization.

107763162529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 107763162529 by its sum of digits (49), we get a square (5280394963921 = 2297911²).

The spelling of 107763162529 in words is "one hundred seven billion, seven hundred sixty-three million, one hundred sixty-two thousand, five hundred twenty-nine".