106424184312 has 128 divisors (see below), whose sum is σ = 314129275200. Its totient is φ = 33268838400.

The previous prime is 106424184203. The next prime is 106424184313. The reversal of 106424184312 is 213481424601.

106424184312 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 1 + 8 + 4 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×106424184312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424184313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980262 + ... + 1083402.

Almost surely, 2^106424184312 is an apocalyptic number.

106424184312 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 106424184312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157064637600).

106424184312 is an abundant number, since it is smaller than the sum of its proper divisors (207705090888).

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

106424184312 is a wasteful number, since it uses less digits than its factorization.

106424184312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103454 (or 103444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 106424184312 in words is "one hundred six billion, four hundred twenty-four million, one hundred eighty-four thousand, three hundred twelve".