106270862688 has 72 divisors (see below), whose sum is σ = 305323390008. Its totient is φ = 35058419712.

The previous prime is 106270862683. The next prime is 106270862713. The reversal of 106270862688 is 886268072601.

106270862688 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 0 + 8 + 626 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106270862688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106270862683) 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 11 ways as a sum of consecutive naturals, for example, 1874106 + ... + 1929977.

It is an arithmetic number, because the mean of its divisors is an integer number (4240602639).

Almost surely, 2^106270862688 is an apocalyptic number.

106270862688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106270862688 is an abundant number, since it is smaller than the sum of its proper divisors (199052527320).

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

106270862688 is a wasteful number, since it uses less digits than its factorization.

106270862688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804196 (or 3804185 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 106270862688 in words is "one hundred six billion, two hundred seventy million, eight hundred sixty-two thousand, six hundred eighty-eight".