106264916290 has 32 divisors (see below), whose sum is σ = 206010722736. Its totient is φ = 39232416000.

The previous prime is 106264916279. The next prime is 106264916299. The reversal of 106264916290 is 92619462601.

It is a Cunningham number, because it is equal to 325983²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 15719893641 + 90545022649 = 125379^2 + 300907^2 .

It is a super-2 number, since 2×106264916290² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106264916290.

It is not an unprimeable number, because it can be changed into a prime (106264916299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517040 + ... + 1585540.

Almost surely, 2^106264916290 is an apocalyptic number.

106264916290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106264916290 is a deficient number, since it is larger than the sum of its proper divisors (99745806446).

106264916290 is a wasteful number, since it uses less digits than its factorization.

106264916290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80454.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 106264916290 in words is "one hundred six billion, two hundred sixty-four million, nine hundred sixteen thousand, two hundred ninety".