165106542312 has 48 divisors (see below), whose sum is σ = 447589222080. Its totient is φ = 54983124000.

The previous prime is 165106542311. The next prime is 165106542331. The reversal of 165106542312 is 213245601561.

165106542312 is a `hidden beast` number, since 1 + 6 + 5 + 106 + 542 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165106542311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015264 + ... + 1166607.

It is an arithmetic number, because the mean of its divisors is an integer number (9324775460).

Almost surely, 2^165106542312 is an apocalyptic number.

165106542312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165106542312 is an abundant number, since it is smaller than the sum of its proper divisors (282482679768).

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

165106542312 is a wasteful number, since it uses less digits than its factorization.

165106542312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182934 (or 2182927 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 165106542312 in words is "one hundred sixty-five billion, one hundred six million, five hundred forty-two thousand, three hundred twelve".