107129872249 has 3 divisors (see below), whose sum is σ = 107130199557. Its totient is φ = 107129544942.

The previous prime is 107129872237. The next prime is 107129872277. The reversal of 107129872249 is 942278921701.

The square root of 107129872249 is 327307.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 107129872249 - 2¹³ = 107129864057 is a prime.

It is a super-3 number, since 3×107129872249³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107129872196 and 107129872205.

It is not an unprimeable number, because it can be changed into a prime (107129872279) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163654 + ... + 490960.

It is an arithmetic number, because the mean of its divisors is an integer number (35710066519).

Almost surely, 2^107129872249 is an apocalyptic number.

107129872249 is the 327307-th square number.

107129872249 is the 163654-th centered octagonal number.

It is an amenable number.

107129872249 is a deficient number, since it is larger than the sum of its proper divisors (327308).

107129872249 is an frugal number, since it uses more digits than its factorization.

107129872249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654614 (or 327307 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 107129872249 in words is "one hundred seven billion, one hundred twenty-nine million, eight hundred seventy-two thousand, two hundred forty-nine".