106264647114021 has 24 divisors (see below), whose sum is σ = 167562565431456. Its totient is φ = 64358492315040.

The previous prime is 106264647114007. The next prime is 106264647114037. The reversal of 106264647114021 is 120411746462601.

106264647114021 is a `hidden beast` number, since 1 + 0 + 6 + 26 + 464 + 7 + 1 + 140 + 21 = 666.

It is not a de Polignac number, because 106264647114021 - 2¹⁸ = 106264646851877 is a prime.

It is a super-2 number, since 2×106264647114021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106264647114721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369223075 + ... + 369510768.

It is an arithmetic number, because the mean of its divisors is an integer number (6981773559644).

Almost surely, 2^{106264647114021} is an apocalyptic number.

106264647114021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106264647114021 is a deficient number, since it is larger than the sum of its proper divisors (61297918317435).

106264647114021 is a wasteful number, since it uses less digits than its factorization.

106264647114021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738735313 (or 738735310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 106264647114021 in words is "one hundred six trillion, two hundred sixty-four billion, six hundred forty-seven million, one hundred fourteen thousand, twenty-one".