106334643240 has 768 divisors, whose sum is σ = 427748428800. Its totient is φ = 23412146688.

The previous prime is 106334643227. The next prime is 106334643263. The reversal of 106334643240 is 42346433601.

106334643240 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 4 + 643 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×106334643240² (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 junction number, because it is equal to n+sod(n) for n = 106334643195 and 106334643204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188871199 + ... + 188871761.

It is an arithmetic number, because the mean of its divisors is an integer number (556964100).

Almost surely, 2^106334643240 is an apocalyptic number.

106334643240 is a gapful number since it is divisible by the number (10) 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 106334643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213874214400).

106334643240 is an abundant number, since it is smaller than the sum of its proper divisors (321413785560).

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

106334643240 is a wasteful number, since it uses less digits than its factorization.

106334643240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 106334643240 in words is "one hundred six billion, three hundred thirty-four million, six hundred forty-three thousand, two hundred forty".