106264647114016 has 24 divisors (see below), whose sum is σ = 214862808440700. Its totient is φ = 51696314811648.

The previous prime is 106264647114007. The next prime is 106264647114037. The reversal of 106264647114016 is 610411746462601.

It can be written as a sum of positive squares in 2 ways, for example, as 96140770419600 + 10123876694416 = 9805140^2 + 3181804^2 .

It is a super-2 number, since 2×106264647114016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 44875272091 + ... + 44875274458.

Almost surely, 2^{106264647114016} is an apocalyptic number.

106264647114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106264647114016 is an abundant number, since it is smaller than the sum of its proper divisors (108598161326684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106264647114016 is an equidigital number, since it uses as much as digits as its factorization.

106264647114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89750546596 (or 89750546588 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 106264647114016 in words is "one hundred six trillion, two hundred sixty-four billion, six hundred forty-seven million, one hundred fourteen thousand, sixteen".