106396295249 has 8 divisors (see below), whose sum is σ = 106945628328. Its totient is φ = 105847056000.

The previous prime is 106396295237. The next prime is 106396295303. The reversal of 106396295249 is 942592693601.

It can be written as a sum of positive squares in 4 ways, for example, as 35124382225 + 71271913024 = 187415^2 + 266968^2 .

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 106396295249 - 2⁴ = 106396295233 is a prime.

It is a super-2 number, since 2×106396295249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106396295194 and 106396295203.

It is not an unprimeable number, because it can be changed into a prime (106396255249) 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, 4124339 + ... + 4150055.

It is an arithmetic number, because the mean of its divisors is an integer number (13368203541).

Almost surely, 2^106396295249 is an apocalyptic number.

It is an amenable number.

106396295249 is a deficient number, since it is larger than the sum of its proper divisors (549333079).

106396295249 is a wasteful number, since it uses less digits than its factorization.

106396295249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46915.

The product of its (nonzero) digits is 6298560, while the sum is 56.

The spelling of 106396295249 in words is "one hundred six billion, three hundred ninety-six million, two hundred ninety-five thousand, two hundred forty-nine".