105101320 has 32 divisors (see below), whose sum is σ = 236779200. Its totient is φ = 41987008.

The previous prime is 105101309. The next prime is 105101333. The reversal of 105101320 is 23101501.

It is a super-2 number, since 2×105101320² = 22092574931484800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105101320.

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, 49317 + ... + 51403.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2^105101320 is an apocalyptic number.

105101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105101320 is an abundant number, since it is smaller than the sum of its proper divisors (131677880).

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

105101320 is a wasteful number, since it uses less digits than its factorization.

105101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105101320 is about 10251.8934836449. The cubic root of 105101320 is about 471.9210942502.

Adding to 105101320 its reverse (23101501), we get a palindrome (128202821).

The spelling of 105101320 in words is "one hundred five million, one hundred one thousand, three hundred twenty".