107260835049 has 9 divisors (see below), whose sum is σ = 154933736503. Its totient is φ = 71506568352.

The previous prime is 107260835027. The next prime is 107260835057. The reversal of 107260835049 is 940538062701.

The square root of 107260835049 is 327507.

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

107260835049 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 60 + 83 + 504 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7657475049 + 99603360000 = 87507^2 + 315600^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 107260835049 - 2¹⁵ = 107260802281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107260834995 and 107260835013.

It is not an unprimeable number, because it can be changed into a prime (107260835749) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 927937 + ... + 1037105.

It is a 1-persistent number, because it is pandigital, but 2⋅107260835049 = 214521670098 is not.

Almost surely, 2^107260835049 is an apocalyptic number.

107260835049 is the 327507-th square number.

107260835049 is the 163754-th centered octagonal number.

It is an amenable number.

107260835049 is a deficient number, since it is larger than the sum of its proper divisors (47672901454).

107260835049 is an frugal number, since it uses more digits than its factorization.

107260835049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218344 (or 109172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107260835049 in words is "one hundred seven billion, two hundred sixty million, eight hundred thirty-five thousand, forty-nine".