10105601112 has 48 divisors (see below), whose sum is σ = 27818026080. Its totient is φ = 3313310400.

The previous prime is 10105601059. The next prime is 10105601113. The reversal of 10105601112 is 21110650101.

It is a happy number.

10105601112 is a `hidden beast` number, since 101 + 0 + 560 + 1 + 1 + 1 + 2 = 666.

10105601112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105601113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146064 + ... + 1154847.

It is an arithmetic number, because the mean of its divisors is an integer number (579542210).

Almost surely, 2^10105601112 is an apocalyptic number.

10105601112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105601112 is an abundant number, since it is smaller than the sum of its proper divisors (17712424968).

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

10105601112 is a wasteful number, since it uses less digits than its factorization.

10105601112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300984 (or 2300977 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The spelling of 10105601112 in words is "ten billion, one hundred five million, six hundred one thousand, one hundred twelve".