105736020 has 48 divisors (see below), whose sum is σ = 318837120. Its totient is φ = 26027136.

The previous prime is 105735977. The next prime is 105736027. The reversal of 105736020 is 20637501.

It is a super-2 number, since 2×105736020² = 22360211850880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105736027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67000 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (6642440).

Almost surely, 2^105736020 is an apocalyptic number.

105736020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105736020 is an abundant number, since it is smaller than the sum of its proper divisors (213101100).

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

105736020 is a wasteful number, since it uses less digits than its factorization.

105736020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135584 (or 135582 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105736020 is about 10282.8021472748. The cubic root of 105736020 is about 472.8691552555.

The spelling of 105736020 in words is "one hundred five million, seven hundred thirty-six thousand, twenty".