103171120 has 80 divisors (see below), whose sum is σ = 260295840. Its totient is φ = 38029056.

The previous prime is 103171109. The next prime is 103171127. The reversal of 103171120 is 21171301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103171094 and 103171103.

It is not an unprimeable number, because it can be changed into a prime (103171127) 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, 175467 + ... + 176053.

It is an arithmetic number, because the mean of its divisors is an integer number (3253698).

Almost surely, 2^103171120 is an apocalyptic number.

103171120 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 103171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130147920).

103171120 is an abundant number, since it is smaller than the sum of its proper divisors (157124720).

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

103171120 is an equidigital number, since it uses as much as digits as its factorization.

103171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 103171120 is about 10157.3185437890. The cubic root of 103171120 is about 469.0142611855.

The spelling of 103171120 in words is "one hundred three million, one hundred seventy-one thousand, one hundred twenty".