105105606152 has 32 divisors (see below), whose sum is σ = 210287013600. Its totient is φ = 49104849024.

The previous prime is 105105606131. The next prime is 105105606157. The reversal of 105105606152 is 251606501501.

It is a super-2 number, since 2×105105606152² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105606157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4725098 + ... + 4747289.

It is an arithmetic number, because the mean of its divisors is an integer number (6571469175).

Almost surely, 2^105105606152 is an apocalyptic number.

It is an amenable number.

105105606152 is an abundant number, since it is smaller than the sum of its proper divisors (105181407448).

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

105105606152 is a wasteful number, since it uses less digits than its factorization.

105105606152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472485 (or 9472481 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 105105606152 in words is "one hundred five billion, one hundred five million, six hundred six thousand, one hundred fifty-two".