106051005160 has 32 divisors (see below), whose sum is σ = 239017200840. Its totient is φ = 42348857344.

The previous prime is 106051005149. The next prime is 106051005163. The reversal of 106051005160 is 61500150601.

106051005160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 91301874244 + 14749130916 = 302162^2 + 121446^2 .

It is a super-2 number, since 2×106051005160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106051005163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2211757 + ... + 2259196.

Almost surely, 2^106051005160 is an apocalyptic number.

106051005160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051005160 is an abundant number, since it is smaller than the sum of its proper divisors (132966195680).

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

106051005160 is a wasteful number, since it uses less digits than its factorization.

106051005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471557 (or 4471553 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 106051005160 its reverse (61500150601), we get a palindrome (167551155761).

The spelling of 106051005160 in words is "one hundred six billion, fifty-one million, five thousand, one hundred sixty".