106509273312 has 96 divisors (see below), whose sum is σ = 304476913440. Its totient is φ = 32403824640.

The previous prime is 106509273281. The next prime is 106509273319. The reversal of 106509273312 is 213372905601.

It is a happy number.

106509273312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106509273312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106509273319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368389 + ... + 590532.

It is an arithmetic number, because the mean of its divisors is an integer number (3171634515).

Almost surely, 2^106509273312 is an apocalyptic number.

106509273312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106509273312 is an abundant number, since it is smaller than the sum of its proper divisors (197967640128).

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

106509273312 is a wasteful number, since it uses less digits than its factorization.

106509273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959036 (or 959028 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 106509273312 in words is "one hundred six billion, five hundred nine million, two hundred seventy-three thousand, three hundred twelve".