105136220 has 96 divisors (see below), whose sum is σ = 266692608. Its totient is φ = 34036992.

The previous prime is 105136219. The next prime is 105136261. The reversal of 105136220 is 22631501.

It is a super-2 number, since 2×105136220² = 22107249511776800, 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 = 105136192 and 105136201.

It is a congruent 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, 331502 + ... + 331818.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2^105136220 is an apocalyptic number.

105136220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105136220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133346304).

105136220 is an abundant number, since it is smaller than the sum of its proper divisors (161556388).

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

105136220 is a wasteful number, since it uses less digits than its factorization.

105136220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105136220 is about 10253.5954669569. The cubic root of 105136220 is about 471.9733239257.

Adding to 105136220 its reverse (22631501), we get a palindrome (127767721).

The spelling of 105136220 in words is "one hundred five million, one hundred thirty-six thousand, two hundred twenty".