105032816 has 80 divisors (see below), whose sum is σ = 241859520. Its totient is φ = 43253760.

The previous prime is 105032801. The next prime is 105032821. The reversal of 105032816 is 618230501.

It is a super-2 number, since 2×105032816² = 22063784873779712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408560 + ... + 408816.

It is an arithmetic number, because the mean of its divisors is an integer number (3023244).

Almost surely, 2^105032816 is an apocalyptic number.

105032816 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 105032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929760).

105032816 is an abundant number, since it is smaller than the sum of its proper divisors (136826704).

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

105032816 is a wasteful number, since it uses less digits than its factorization.

105032816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105032816 is about 10248.5518977073. The cubic root of 105032816 is about 471.8185407999.

The spelling of 105032816 in words is "one hundred five million, thirty-two thousand, eight hundred sixteen".