103106160 has 120 divisors (see below), whose sum is σ = 364537680. Its totient is φ = 26044416.

The previous prime is 103106137. The next prime is 103106167. The reversal of 103106160 is 61601301.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103106167) 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 23 ways as a sum of consecutive naturals, for example, 9912 + ... + 17448.

It is an arithmetic number, because the mean of its divisors is an integer number (3037814).

Almost surely, 2^103106160 is an apocalyptic number.

103106160 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 103106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182268840).

103106160 is an abundant number, since it is smaller than the sum of its proper divisors (261431520).

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

103106160 is a wasteful number, since it uses less digits than its factorization.

103106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103106160 is about 10154.1203459482. The cubic root of 103106160 is about 468.9158048118.

Adding to 103106160 its reverse (61601301), we get a palindrome (164707461).

The spelling of 103106160 in words is "one hundred three million, one hundred six thousand, one hundred sixty".