103164012 has 108 divisors (see below), whose sum is σ = 305867016. Its totient is φ = 29232000.

The previous prime is 103164011. The next prime is 103164043. The reversal of 103164012 is 210461301.

It is a happy number.

103164012 is a `hidden beast` number, since 10 + 3 + 1 + 640 + 12 = 666.

It is a super-2 number, since 2×103164012² = 21285626743872288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103164011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410887 + ... + 411137.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^103164012 is an apocalyptic number.

103164012 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 103164012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933508).

103164012 is an abundant number, since it is smaller than the sum of its proper divisors (202703004).

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

103164012 is a wasteful number, since it uses less digits than its factorization.

103164012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103164012 is about 10156.9686422672. The cubic root of 103164012 is about 469.0034899867.

The spelling of 103164012 in words is "one hundred three million, one hundred sixty-four thousand, twelve".