105590016 has 108 divisors (see below), whose sum is σ = 347986912. Its totient is φ = 30163968.

The previous prime is 105590003. The next prime is 105590021. The reversal of 105590016 is 610095501.

It is a super-2 number, since 2×105590016² = 22298502957760512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12855 + ... + 19401.

Almost surely, 2^105590016 is an apocalyptic number.

105590016 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 105590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173993456).

105590016 is an abundant number, since it is smaller than the sum of its proper divisors (242396896).

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

105590016 is an equidigital number, since it uses as much as digits as its factorization.

105590016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105590016 is about 10275.7002681083. The cubic root of 105590016 is about 472.6514035675.

The spelling of 105590016 in words is "one hundred five million, five hundred ninety thousand, sixteen".