105928536 has 64 divisors (see below), whose sum is σ = 303713280. Its totient is φ = 30159360.

The previous prime is 105928517. The next prime is 105928567. The reversal of 105928536 is 635829501.

It is a super-2 number, since 2×105928536² = 22441709478206592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105928494 and 105928503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55681 + ... + 57551.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2^105928536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105928536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856640).

105928536 is an abundant number, since it is smaller than the sum of its proper divisors (197784744).

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

105928536 is a wasteful number, since it uses less digits than its factorization.

105928536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 105928536 is about 10292.1589571868. The cubic root of 105928536 is about 473.1559691667.

The spelling of 105928536 in words is "one hundred five million, nine hundred twenty-eight thousand, five hundred thirty-six".