106105100070 has 128 divisors (see below), whose sum is σ = 269109775872. Its totient is φ = 26745523200.

The previous prime is 106105100063. The next prime is 106105100071. The reversal of 106105100070 is 70001501601.

It is a super-2 number, since 2×106105100070² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105100071) 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, 5016457 + ... + 5037563.

It is an arithmetic number, because the mean of its divisors is an integer number (2102420124).

Almost surely, 2^106105100070 is an apocalyptic number.

106105100070 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 106105100070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134554887936).

106105100070 is an abundant number, since it is smaller than the sum of its proper divisors (163004675802).

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

106105100070 is a wasteful number, since it uses less digits than its factorization.

106105100070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286.

The product of its (nonzero) digits is 210, while the sum is 21.

Adding to 106105100070 its reverse (70001501601), we get a palindrome (176106601671).

The spelling of 106105100070 in words is "one hundred six billion, one hundred five million, one hundred thousand, seventy".