106161516 has 60 divisors (see below), whose sum is σ = 279428688. Its totient is φ = 35144928.

The previous prime is 106161509. The next prime is 106161529. The reversal of 106161516 is 615161601.

It is a super-2 number, since 2×106161516² = 22540534958836512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106161516.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49825 + ... + 51911.

Almost surely, 2^106161516 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 106161516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139714344).

106161516 is an abundant number, since it is smaller than the sum of its proper divisors (173267172).

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

106161516 is a wasteful number, since it uses less digits than its factorization.

106161516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106161516 is about 10303.4710656167. The cubic root of 106161516 is about 473.5026027324.

The spelling of 106161516 in words is "one hundred six million, one hundred sixty-one thousand, five hundred sixteen".