10105380 has 72 divisors (see below), whose sum is σ = 31659264. Its totient is φ = 2606400.

The previous prime is 10105367. The next prime is 10105391. The reversal of 10105380 is 8350101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4675 + ... + 6485.

It is an arithmetic number, because the mean of its divisors is an integer number (439712).

Almost surely, 2^10105380 is an apocalyptic number.

10105380 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 10105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829632).

10105380 is an abundant number, since it is smaller than the sum of its proper divisors (21553884).

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

10105380 is a wasteful number, since it uses less digits than its factorization.

10105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10105380 is about 3178.8960347894. The cubic root of 10105380 is about 216.1976072301.

Adding to 10105380 its reverse (8350101), we get a palindrome (18455481).

The spelling of 10105380 in words is "ten million, one hundred five thousand, three hundred eighty".