106593030 has 64 divisors (see below), whose sum is σ = 291211200. Its totient is φ = 27728640.

The previous prime is 106593029. The next prime is 106593037. The reversal of 106593030 is 30395601.

106593030 is a `hidden beast` number, since 1 + 0 + 659 + 3 + 0 + 3 + 0 = 666.

It is a super-3 number, since 3×106593030³ (a number of 25 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 106592985 and 106593003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106593037) 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, 6256 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (4550175).

Almost surely, 2^106593030 is an apocalyptic number.

106593030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106593030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145605600).

106593030 is an abundant number, since it is smaller than the sum of its proper divisors (184618170).

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

106593030 is a wasteful number, since it uses less digits than its factorization.

106593030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 106593030 is about 10324.3900546231. The cubic root of 106593030 is about 474.1432830733.

It can be divided in two parts, 10659 and 3030, that added together give a square (13689 = 117²).

The spelling of 106593030 in words is "one hundred six million, five hundred ninety-three thousand, thirty".