10606005000 has 320 divisors, whose sum is σ = 37079380800. Its totient is φ = 2808000000.

The previous prime is 10606004987. The next prime is 10606005001. The reversal of 10606005000 is 50060601.

10606005000 is a `hidden beast` number, since 1 + 0 + 60 + 600 + 5 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10606005000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10606005001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33884844 + ... + 33885156.

It is an arithmetic number, because the mean of its divisors is an integer number (115873065).

Almost surely, 2^10606005000 is an apocalyptic number.

10606005000 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 10606005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539690400).

10606005000 is an abundant number, since it is smaller than the sum of its proper divisors (26473375800).

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

10606005000 is a wasteful number, since it uses less digits than its factorization.

10606005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10606005000 its reverse (50060601), we get a palindrome (10656065601).

The spelling of 10606005000 in words is "ten billion, six hundred six million, five thousand".