105000612 has 48 divisors (see below), whose sum is σ = 269122560. Its totient is φ = 31714848.

The previous prime is 105000611. The next prime is 105000613. The reversal of 105000612 is 216000501.

It is an interprime number because it is at equal distance from previous prime (105000611) and next prime (105000613).

It is a super-2 number, since 2×105000612² = 22050257040749088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000591 and 105000600.

It is not an unprimeable number, because it can be changed into a prime (105000611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4768 + ... + 15255.

It is an arithmetic number, because the mean of its divisors is an integer number (5606720).

Almost surely, 2^105000612 is an apocalyptic number.

105000612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105000612 is an abundant number, since it is smaller than the sum of its proper divisors (164121948).

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

105000612 is a wasteful number, since it uses less digits than its factorization.

105000612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105000612 is about 10246.9806284583. The cubic root of 105000612 is about 471.7703146104.

The spelling of 105000612 in words is "one hundred five million, six hundred twelve", and thus it is an aban number.