106349516 has 48 divisors (see below), whose sum is σ = 239038464. Its totient is φ = 40239936.

The previous prime is 106349497. The next prime is 106349527. The reversal of 106349516 is 615943601.

106349516 = T₁₃₄ + T₁₃₅ + ... + T₈₆₁.

It is a super-2 number, since 2×106349516² = 22620439106868512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (4979968).

Almost surely, 2^106349516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106349516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119519232).

106349516 is an abundant number, since it is smaller than the sum of its proper divisors (132688948).

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

106349516 is a wasteful number, since it uses less digits than its factorization.

106349516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12750 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 106349516 is about 10312.5901693028. The cubic root of 106349516 is about 473.7819443654.

The spelling of 106349516 in words is "one hundred six million, three hundred forty-nine thousand, five hundred sixteen".