105357012 has 24 divisors (see below), whose sum is σ = 247713312. Its totient is φ = 34850400.

The previous prime is 105357001. The next prime is 105357017. The reversal of 105357012 is 210753501.

It is a super-2 number, since 2×105357012² = 22200199955136288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105357017) 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, 31939 + ... + 35082.

It is an arithmetic number, because the mean of its divisors is an integer number (10321388).

Almost surely, 2^105357012 is an apocalyptic number.

105357012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105357012 is an abundant number, since it is smaller than the sum of its proper divisors (142356300).

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

105357012 is a wasteful number, since it uses less digits than its factorization.

105357012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67159 (or 67157 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105357012 is about 10264.3563850833. The cubic root of 105357012 is about 472.3034831281.

The spelling of 105357012 in words is "one hundred five million, three hundred fifty-seven thousand, twelve".