106516305 has 48 divisors (see below), whose sum is σ = 223426944. Its totient is φ = 45826560.

The previous prime is 106516283. The next prime is 106516313. The reversal of 106516305 is 503615601.

It is a happy number.

106516305 is a `hidden beast` number, since 1 + 0 + 651 + 6 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 106516305 - 2⁷ = 106516177 is a prime.

It is a super-2 number, since 2×106516305² = 22691446461706050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4591 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (4654728).

Almost surely, 2^106516305 is an apocalyptic number.

106516305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106516305 is an abundant number, since it is smaller than the sum of its proper divisors (116910639).

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

106516305 is a wasteful number, since it uses less digits than its factorization.

106516305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19926 (or 19923 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106516305 is about 10320.6736698725. The cubic root of 106516305 is about 474.0294939720.

The spelling of 106516305 in words is "one hundred six million, five hundred sixteen thousand, three hundred five".