107573758137729 has 81 divisors (see below), whose sum is σ = 177590762414793. Its totient is φ = 62710584865344.

The previous prime is 107573758137673. The next prime is 107573758137761. The reversal of 107573758137729 is 927731857375701.

It is a happy number.

The square root of 107573758137729 is 10371777.

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

107573758137729 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 7 + 3 + 7 + 581 + 37 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16614811320129 + 90958946817600 = 4076127^2 + 9537240^2 .

It is not a de Polignac number, because 107573758137729 - 2⁹ = 107573758137217 is a prime.

It is a super-2 number, since 2×107573758137729² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107573758137779) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7685479759 + ... + 7685493755.

Almost surely, 2^{107573758137729} is an apocalyptic number.

107573758137729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

107573758137729 is the 10371777-th square number.

107573758137729 is the 5185889-th centered octagonal number.

It is an amenable number.

107573758137729 is a deficient number, since it is larger than the sum of its proper divisors (70017004277064).

107573758137729 is an frugal number, since it uses more digits than its factorization.

107573758137729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28064 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 544546800, while the sum is 72.

The spelling of 107573758137729 in words is "one hundred seven trillion, five hundred seventy-three billion, seven hundred fifty-eight million, one hundred thirty-seven thousand, seven hundred twenty-nine".