105732220 has 36 divisors (see below), whose sum is σ = 244063512. Its totient is φ = 38447200.

The previous prime is 105732203. The next prime is 105732239. The reversal of 105732220 is 22237501.

It is a super-2 number, since 2×105732220² = 22358604692256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 105732191 and 105732200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19426 + ... + 24265.

It is an arithmetic number, because the mean of its divisors is an integer number (6779542).

Almost surely, 2^105732220 is an apocalyptic number.

105732220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105732220 is an abundant number, since it is smaller than the sum of its proper divisors (138331292).

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

105732220 is a wasteful number, since it uses less digits than its factorization.

105732220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43722 (or 43709 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 105732220 is about 10282.6173710782. The cubic root of 105732220 is about 472.8634904426.

Adding to 105732220 its reverse (22237501), we get a palindrome (127969721).

The spelling of 105732220 in words is "one hundred five million, seven hundred thirty-two thousand, two hundred twenty".