106532261056 has 112 divisors (see below), whose sum is σ = 230226022656. Its totient is φ = 48616694784.

The previous prime is 106532261041. The next prime is 106532261083. The reversal of 106532261056 is 650162235601.

It is a super-2 number, since 2×106532261056² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73622125 + ... + 73623571.

It is an arithmetic number, because the mean of its divisors is an integer number (2055589488).

Almost surely, 2^106532261056 is an apocalyptic number.

106532261056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106532261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115113011328).

106532261056 is an abundant number, since it is smaller than the sum of its proper divisors (123693761600).

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

106532261056 is a wasteful number, since it uses less digits than its factorization.

106532261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 106532261056 its reverse (650162235601), we get a palindrome (756694496657).

The spelling of 106532261056 in words is "one hundred six billion, five hundred thirty-two million, two hundred sixty-one thousand, fifty-six".