106001019912 has 32 divisors (see below), whose sum is σ = 278950053600. Its totient is φ = 33474006144.

The previous prime is 106001019851. The next prime is 106001019913. The reversal of 106001019912 is 219910100601.

It is a super-2 number, since 2×106001019912² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106001019912.

It is not an unprimeable number, because it can be changed into a prime (106001019913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116228733 + ... + 116229644.

It is an arithmetic number, because the mean of its divisors is an integer number (8717189175).

Almost surely, 2^106001019912 is an apocalyptic number.

106001019912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106001019912 is an abundant number, since it is smaller than the sum of its proper divisors (172949033688).

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

106001019912 is a wasteful number, since it uses less digits than its factorization.

106001019912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232458405 (or 232458401 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 106001019912 in words is "one hundred six billion, one million, nineteen thousand, nine hundred twelve".