106083667272 has 64 divisors (see below), whose sum is σ = 290519760960. Its totient is φ = 32013158400.

The previous prime is 106083667237. The next prime is 106083667321. The reversal of 106083667272 is 272766380601.

It is a super-2 number, since 2×106083667272² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770053 + ... + 897300.

It is an arithmetic number, because the mean of its divisors is an integer number (4539371265).

Almost surely, 2^106083667272 is an apocalyptic number.

106083667272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106083667272 is an abundant number, since it is smaller than the sum of its proper divisors (184436093688).

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

106083667272 is a wasteful number, since it uses less digits than its factorization.

106083667272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667614 (or 1667610 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 106083667272 in words is "one hundred six billion, eighty-three million, six hundred sixty-seven thousand, two hundred seventy-two".