106016512 has 72 divisors (see below), whose sum is σ = 245737856. Its totient is φ = 44706816.

The previous prime is 106016503. The next prime is 106016527. The reversal of 106016512 is 215610601.

It is a super-2 number, since 2×106016512² = 22479001633292288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119623 + ... + 120505.

Almost surely, 2^106016512 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 106016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122868928).

106016512 is an abundant number, since it is smaller than the sum of its proper divisors (139721344).

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

106016512 is an frugal number, since it uses more digits than its factorization.

106016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 106016512 is about 10296.4320033689. The cubic root of 106016512 is about 473.2869217647.

The spelling of 106016512 in words is "one hundred six million, sixteen thousand, five hundred twelve".