106510516 has 36 divisors (see below), whose sum is σ = 226261728. Its totient is φ = 43660848.

The previous prime is 106510511. The next prime is 106510583. The reversal of 106510516 is 615015601.

It is a super-2 number, since 2×106510516² = 22688980037172512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106510511) 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 11 ways as a sum of consecutive naturals, for example, 7306 + ... + 16321.

It is an arithmetic number, because the mean of its divisors is an integer number (6285048).

Almost surely, 2^106510516 is an apocalyptic number.

It is an amenable number.

106510516 is an abundant number, since it is smaller than the sum of its proper divisors (119751212).

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

106510516 is a wasteful number, since it uses less digits than its factorization.

106510516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23668 (or 23659 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 106510516 is about 10320.3932095633. The cubic root of 106510516 is about 474.0209062212.

The spelling of 106510516 in words is "one hundred six million, five hundred ten thousand, five hundred sixteen".