105001320 has 32 divisors (see below), whose sum is σ = 315004320. Its totient is φ = 28000320.

The previous prime is 105001307. The next prime is 105001357. The reversal of 105001320 is 23100501.

It is a super-2 number, since 2×105001320² = 22050554403484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 105001296 and 105001305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437386 + ... + 437625.

It is an arithmetic number, because the mean of its divisors is an integer number (9843885).

Almost surely, 2^105001320 is an apocalyptic number.

105001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001320 is an abundant number, since it is smaller than the sum of its proper divisors (210003000).

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

105001320 is a wasteful number, since it uses less digits than its factorization.

105001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875025 (or 875021 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105001320 is about 10247.0151751620. The cubic root of 105001320 is about 471.7713749618.

Adding to 105001320 its reverse (23100501), we get a palindrome (128101821).

The spelling of 105001320 in words is "one hundred five million, one thousand, three hundred twenty".