106872049249 has 8 divisors (see below), whose sum is σ = 122172286208. Its totient is φ = 91580012640.

The previous prime is 106872049223. The next prime is 106872049267. The reversal of 106872049249 is 942940278601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106872049249 - 2¹³ = 106872041057 is a prime.

It is a super-2 number, since 2×106872049249² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106872049196 and 106872049205.

It is not an unprimeable number, because it can be changed into a prime (106872049279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022132 + ... + 2074309.

It is an arithmetic number, because the mean of its divisors is an integer number (15271535776).

Almost surely, 2^106872049249 is an apocalyptic number.

It is an amenable number.

106872049249 is a deficient number, since it is larger than the sum of its proper divisors (15300236959).

106872049249 is an equidigital number, since it uses as much as digits as its factorization.

106872049249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100175.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 106872049249 in words is "one hundred six billion, eight hundred seventy-two million, forty-nine thousand, two hundred forty-nine".