106459834572 has 768 divisors, whose sum is σ = 377162956800. Its totient is φ = 25183042560.

The previous prime is 106459834543. The next prime is 106459834573. The reversal of 106459834572 is 275438954601.

It is a happy number.

106459834572 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 598 + 3 + 45 + 7 + 2 = 666.

It is a super-2 number, since 2×106459834572² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106459834573) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 306800503 + ... + 306800849.

It is an arithmetic number, because the mean of its divisors is an integer number (491097600).

It is a 1-persistent number, because it is pandigital, but 2⋅106459834572 = 212919669144 is not.

Almost surely, 2^106459834572 is an apocalyptic number.

106459834572 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 106459834572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188581478400).

106459834572 is an abundant number, since it is smaller than the sum of its proper divisors (270703122228).

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

106459834572 is a wasteful number, since it uses less digits than its factorization.

106459834572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 106459834572 in words is "one hundred six billion, four hundred fifty-nine million, eight hundred thirty-four thousand, five hundred seventy-two".