106233012 has 48 divisors (see below), whose sum is σ = 278174400. Its totient is φ = 35056800.

The previous prime is 106232999. The next prime is 106233037. The reversal of 106233012 is 210332601.

106233012 is a `hidden beast` number, since 1 + 0 + 623 + 30 + 12 = 666.

It is a super-2 number, since 2×106233012² = 22570905677184288, which contains 22 as substring.

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

It is a congruent number.

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, 6039 + ... + 15777.

It is an arithmetic number, because the mean of its divisors is an integer number (5795300).

Almost surely, 2^106233012 is an apocalyptic number.

106233012 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 106233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087200).

106233012 is an abundant number, since it is smaller than the sum of its proper divisors (171941388).

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

106233012 is a wasteful number, since it uses less digits than its factorization.

106233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106233012 is about 10306.9399920636. The cubic root of 106233012 is about 473.6088745921.

Adding to 106233012 its reverse (210332601), we get a palindrome (316565613).

The spelling of 106233012 in words is "one hundred six million, two hundred thirty-three thousand, twelve".