105331536 has 80 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 33580800.

The previous prime is 105331531. The next prime is 105331537. The reversal of 105331536 is 635133501.

It is a super-2 number, since 2×105331536² = 22189464952238592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 15236.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2^105331536 is an apocalyptic number.

105331536 is a gapful number since it is divisible by the number (16) 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 105331536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

105331536 is an abundant number, since it is smaller than the sum of its proper divisors (210183984).

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

105331536 is a wasteful number, since it uses less digits than its factorization.

105331536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10641 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105331536 is about 10263.1153165109. The cubic root of 105331536 is about 472.2654113906.

The spelling of 105331536 in words is "one hundred five million, three hundred thirty-one thousand, five hundred thirty-six".