105311720 has 16 divisors (see below), whose sum is σ = 236951460. Its totient is φ = 42124672.

The previous prime is 105311711. The next prime is 105311729. The reversal of 105311720 is 27113501.

It is an interprime number because it is at equal distance from previous prime (105311711) and next prime (105311729).

It can be written as a sum of positive squares in 2 ways, for example, as 102373924 + 2937796 = 10118^2 + 1714^2 .

It is a super-2 number, since 2×105311720² = 22181116738716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105311692 and 105311701.

It is not an unprimeable number, because it can be changed into a prime (105311729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316357 + ... + 1316436.

Almost surely, 2^105311720 is an apocalyptic number.

105311720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311720 is an abundant number, since it is smaller than the sum of its proper divisors (131639740).

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

105311720 is a wasteful number, since it uses less digits than its factorization.

105311720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632804 (or 2632800 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105311720 is about 10262.1498722246. The cubic root of 105311720 is about 472.2357938019.

The spelling of 105311720 in words is "one hundred five million, three hundred eleven thousand, seven hundred twenty".