106146516 has 48 divisors (see below), whose sum is σ = 285125120. Its totient is φ = 30106080.

The previous prime is 106146503. The next prime is 106146529. The reversal of 106146516 is 615641601.

It is an interprime number because it is at equal distance from previous prime (106146503) and next prime (106146529).

It is a super-2 number, since 2×106146516² = 22534165717876512, 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 15 ways as a sum of consecutive naturals, for example, 7131 + ... + 16221.

Almost surely, 2^106146516 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 106146516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142562560).

106146516 is an abundant number, since it is smaller than the sum of its proper divisors (178978604).

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

106146516 is a wasteful number, since it uses less digits than its factorization.

106146516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106146516 is about 10302.7431298659. The cubic root of 106146516 is about 473.4803006345.

The spelling of 106146516 in words is "one hundred six million, one hundred forty-six thousand, five hundred sixteen".