105488016 has 40 divisors (see below), whose sum is σ = 276586464. Its totient is φ = 34636800.

The previous prime is 105488011. The next prime is 105488017. The reversal of 105488016 is 610884501.

It is a super-2 number, since 2×105488016² = 22255443039232512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105488011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13185 + ... + 19616.

Almost surely, 2^105488016 is an apocalyptic number.

105488016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105488016 is an abundant number, since it is smaller than the sum of its proper divisors (171098448).

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

105488016 is a wasteful number, since it uses less digits than its factorization.

105488016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32879 (or 32873 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105488016 is about 10270.7359035271. The cubic root of 105488016 is about 472.4991607163.

The spelling of 105488016 in words is "one hundred five million, four hundred eighty-eight thousand, sixteen".