106505101160 has 64 divisors (see below), whose sum is σ = 252326793600. Its totient is φ = 40347369216.

The previous prime is 106505101159. The next prime is 106505101163. The reversal of 106505101160 is 61101505601.

It is a super-2 number, since 2×106505101160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106505101163) 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 15 ways as a sum of consecutive naturals, for example, 2660654 + ... + 2700386.

It is an arithmetic number, because the mean of its divisors is an integer number (3942606150).

Almost surely, 2^106505101160 is an apocalyptic number.

106505101160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106505101160 is an abundant number, since it is smaller than the sum of its proper divisors (145821692440).

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

106505101160 is a wasteful number, since it uses less digits than its factorization.

106505101160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43290 (or 43286 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 106505101160 its reverse (61101505601), we get a palindrome (167606606761).

The spelling of 106505101160 in words is "one hundred six billion, five hundred five million, one hundred one thousand, one hundred sixty".