165106512 has 200 divisors, whose sum is σ = 518538240. Its totient is φ = 50561280.

The previous prime is 165106507. The next prime is 165106553. The reversal of 165106512 is 215601561.

It is a happy number.

165106512 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 0 + 651 + 2 = 666.

165106512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165106512² = 54520320609612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 864337 + ... + 864527.

Almost surely, 2^165106512 is an apocalyptic number.

165106512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

165106512 is an abundant number, since it is smaller than the sum of its proper divisors (353431728).

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

165106512 is a wasteful number, since it uses less digits than its factorization.

165106512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 165106512 is about 12849.3778837732. The cubic root of 165106512 is about 548.5986495979.

The spelling of 165106512 in words is "one hundred sixty-five million, one hundred six thousand, five hundred twelve".