105332010 has 64 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 22807872.

The previous prime is 105331999. The next prime is 105332021. The reversal of 105332010 is 10233501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105331999) and next prime (105332021).

It is a super-2 number, since 2×105332010² = 22189664661280200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9210 + ... + 17189.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2^105332010 is an apocalyptic number.

105332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105332010 is an abundant number, since it is smaller than the sum of its proper divisors (198795990).

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

105332010 is a wasteful number, since it uses less digits than its factorization.

105332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26435.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105332010 is about 10263.1384088884. The cubic root of 105332010 is about 472.2661197997.

Adding to 105332010 its reverse (10233501), we get a palindrome (115565511).

The spelling of 105332010 in words is "one hundred five million, three hundred thirty-two thousand, ten".