106693742232 has 192 divisors, whose sum is σ = 362562220800. Its totient is φ = 27535921920.

The previous prime is 106693742227. The next prime is 106693742291. The reversal of 106693742232 is 232247396601.

106693742232 is a `hidden beast` number, since 106 + 6 + 93 + 7 + 422 + 32 = 666.

It is a super-2 number, since 2×106693742232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809119 + ... + 931697.

It is an arithmetic number, because the mean of its divisors is an integer number (1888344900).

Almost surely, 2^106693742232 is an apocalyptic number.

106693742232 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 106693742232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181281110400).

106693742232 is an abundant number, since it is smaller than the sum of its proper divisors (255868478568).

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

106693742232 is a wasteful number, since it uses less digits than its factorization.

106693742232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122766 (or 122759 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 106693742232 in words is "one hundred six billion, six hundred ninety-three million, seven hundred forty-two thousand, two hundred thirty-two".