103165272 has 192 divisors, whose sum is σ = 343180800. Its totient is φ = 28123200.

The previous prime is 103165261. The next prime is 103165273. The reversal of 103165272 is 272561301.

It is a happy number.

103165272 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 652 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103165273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452997 + ... + 1453067.

It is an arithmetic number, because the mean of its divisors is an integer number (1787400).

Almost surely, 2^103165272 is an apocalyptic number.

103165272 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 103165272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171590400).

103165272 is an abundant number, since it is smaller than the sum of its proper divisors (240015528).

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

103165272 is a wasteful number, since it uses less digits than its factorization.

103165272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 103165272 is about 10157.0306684582. The cubic root of 103165272 is about 469.0053993799.

The spelling of 103165272 in words is "one hundred three million, one hundred sixty-five thousand, two hundred seventy-two".