106005465030 has 128 divisors (see below), whose sum is σ = 279186518016. Its totient is φ = 25643520000.

The previous prime is 106005465029. The next prime is 106005465031. The reversal of 106005465030 is 30564500601.

It is an interprime number because it is at equal distance from previous prime (106005465029) and next prime (106005465031).

It is a super-2 number, since 2×106005465030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005465031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3954954 + ... + 3981666.

It is an arithmetic number, because the mean of its divisors is an integer number (2181144672).

Almost surely, 2^106005465030 is an apocalyptic number.

106005465030 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 106005465030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139593259008).

106005465030 is an abundant number, since it is smaller than the sum of its proper divisors (173181052986).

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

106005465030 is a wasteful number, since it uses less digits than its factorization.

106005465030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27022.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 106005465030 its reverse (30564500601), we get a palindrome (136569965631).

The spelling of 106005465030 in words is "one hundred six billion, five million, four hundred sixty-five thousand, thirty".