103272160 has 96 divisors (see below), whose sum is σ = 257789952. Its totient is φ = 39037440.

The previous prime is 103272157. The next prime is 103272167. The reversal of 103272160 is 61272301.

It is a super-3 number, since 3×103272160³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103272167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232899 + ... + 233341.

It is an arithmetic number, because the mean of its divisors is an integer number (2685312).

Almost surely, 2^103272160 is an apocalyptic number.

103272160 is a gapful number since it is divisible by the number (10) 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 103272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894976).

103272160 is an abundant number, since it is smaller than the sum of its proper divisors (154517792).

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

103272160 is a wasteful number, since it uses less digits than its factorization.

103272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 103272160 is about 10162.2910802633. The cubic root of 103272160 is about 469.1673199718.

The spelling of 103272160 in words is "one hundred three million, two hundred seventy-two thousand, one hundred sixty".