106343360532 has 72 divisors (see below), whose sum is σ = 284849510400. Its totient is φ = 33336292608.

The previous prime is 106343360531. The next prime is 106343360537. The reversal of 106343360532 is 235063343601.

106343360532 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 43 + 3 + 605 + 3 + 2 = 666.

It is a super-3 number, since 3×106343360532³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (106343360531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714819 + ... + 850677.

It is an arithmetic number, because the mean of its divisors is an integer number (3956243200).

Almost surely, 2^106343360532 is an apocalyptic number.

106343360532 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 106343360532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142424755200).

106343360532 is an abundant number, since it is smaller than the sum of its proper divisors (178506149868).

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

106343360532 is a wasteful number, since it uses less digits than its factorization.

106343360532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137165 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 106343360532 in words is "one hundred six billion, three hundred forty-three million, three hundred sixty thousand, five hundred thirty-two".