105120612 has 48 divisors (see below), whose sum is σ = 276393600. Its totient is φ = 34544160.

The previous prime is 105120601. The next prime is 105120641. The reversal of 105120612 is 216021501.

105120612 is a `hidden beast` number, since 1 + 0 + 51 + 2 + 0 + 612 = 666.

It is a super-2 number, since 2×105120612² = 22100686134509088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 814 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (5758200).

Almost surely, 2^105120612 is an apocalyptic number.

105120612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105120612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138196800).

105120612 is an abundant number, since it is smaller than the sum of its proper divisors (171272988).

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

105120612 is a wasteful number, since it uses less digits than its factorization.

105120612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105120612 is about 10252.8343398301. The cubic root of 105120612 is about 471.9499671662.

The spelling of 105120612 in words is "one hundred five million, one hundred twenty thousand, six hundred twelve".