106010516560 has 40 divisors (see below), whose sum is σ = 265434026760. Its totient is φ = 39142344192.

The previous prime is 106010516527. The next prime is 106010516569. The reversal of 106010516560 is 65615010601.

It can be written as a sum of positive squares in 4 ways, for example, as 13085529664 + 92924986896 = 114392^2 + 304836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106010516560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010516569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50965555 + ... + 50967634.

It is an arithmetic number, because the mean of its divisors is an integer number (6635850669).

Almost surely, 2^106010516560 is an apocalyptic number.

106010516560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010516560 is an abundant number, since it is smaller than the sum of its proper divisors (159423510200).

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

106010516560 is a wasteful number, since it uses less digits than its factorization.

106010516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101933215 (or 101933209 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 106010516560 in words is "one hundred six billion, ten million, five hundred sixteen thousand, five hundred sixty".