103952160 has 240 divisors, whose sum is σ = 395725176. Its totient is φ = 25546752.

The previous prime is 103952141. The next prime is 103952171. The reversal of 103952160 is 61259301.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 70358544 = 5796^2 + 8388^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 168172 + ... + 168788.

Almost surely, 2^103952160 is an apocalyptic number.

103952160 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 103952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197862588).

103952160 is an abundant number, since it is smaller than the sum of its proper divisors (291773016).

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

103952160 is a wasteful number, since it uses less digits than its factorization.

103952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103952160 is about 10195.6932084091. The cubic root of 103952160 is about 470.1948188877.

The spelling of 103952160 in words is "one hundred three million, nine hundred fifty-two thousand, one hundred sixty".