103085376 has 56 divisors (see below), whose sum is σ = 274807680. Its totient is φ = 34102272.

The previous prime is 103085369. The next prime is 103085377. The reversal of 103085376 is 673580301.

It is a happy number.

It is a super-2 number, since 2×103085376² = 21253189490122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103085377) 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 7 ways as a sum of consecutive naturals, for example, 24345 + ... + 28263.

It is an arithmetic number, because the mean of its divisors is an integer number (4907280).

Almost surely, 2^103085376 is an apocalyptic number.

103085376 is a gapful number since it is divisible by the number (16) 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 103085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

103085376 is an abundant number, since it is smaller than the sum of its proper divisors (171722304).

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

103085376 is a wasteful number, since it uses less digits than its factorization.

103085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 103085376 is about 10153.0968674587. The cubic root of 103085376 is about 468.8842948903.

The spelling of 103085376 in words is "one hundred three million, eighty-five thousand, three hundred seventy-six".