105106061061064 has 128 divisors (see below), whose sum is σ = 243230532894720. Its totient is φ = 41624270092800.

The previous prime is 105106061061061. The next prime is 105106061061107. The reversal of 105106061061064 is 460160160601501.

It is a super-2 number, since 2×105106061061064² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105106061061061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12364372 + ... + 19054915.

It is an arithmetic number, because the mean of its divisors is an integer number (1900238538240).

Almost surely, 2^{105106061061064} is an apocalyptic number.

105106061061064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105106061061064 is an abundant number, since it is smaller than the sum of its proper divisors (138124471833656).

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

105106061061064 is a wasteful number, since it uses less digits than its factorization.

105106061061064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31419419 (or 31419415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 105106061061064 in words is "one hundred five trillion, one hundred six billion, sixty-one million, sixty-one thousand, sixty-four".