106235000772 has 24 divisors (see below), whose sum is σ = 247892239392. Its totient is φ = 35410156800.

The previous prime is 106235000741. The next prime is 106235000801. The reversal of 106235000772 is 277000532601.

It is a super-2 number, since 2×106235000772² (a number of 23 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 7 ways as a sum of consecutive naturals, for example, 125247 + ... + 477657.

It is an arithmetic number, because the mean of its divisors is an integer number (10328843308).

Almost surely, 2^106235000772 is an apocalyptic number.

106235000772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106235000772 is an abundant number, since it is smaller than the sum of its proper divisors (141657238620).

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

106235000772 is a wasteful number, since it uses less digits than its factorization.

106235000772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377539 (or 377537 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 106235000772 in words is "one hundred six billion, two hundred thirty-five million, seven hundred seventy-two", and thus it is an aban number.