105660151012 has 48 divisors (see below), whose sum is σ = 201463582320. Its totient is φ = 48194961408.

The previous prime is 105660150991. The next prime is 105660151031. The reversal of 105660151012 is 210151066501.

It is a happy number.

105660151012 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 8 ways, for example, as 6564888576 + 99095262436 = 81024^2 + 314794^2 .

It is a super-2 number, since 2×105660151012² (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, 12736738 + ... + 12745030.

It is an arithmetic number, because the mean of its divisors is an integer number (4197157965).

Almost surely, 2^105660151012 is an apocalyptic number.

It is an amenable number.

105660151012 is a deficient number, since it is larger than the sum of its proper divisors (95803431308).

105660151012 is a wasteful number, since it uses less digits than its factorization.

105660151012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 105660151012 in words is "one hundred five billion, six hundred sixty million, one hundred fifty-one thousand, twelve".