106616288 has 48 divisors (see below), whose sum is σ = 215204976. Its totient is φ = 51978240.

The previous prime is 106616273. The next prime is 106616309. The reversal of 106616288 is 882616601.

It is a super-2 number, since 2×106616288² = 22734065733797888, 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 7 ways as a sum of consecutive naturals, for example, 376595 + ... + 376877.

It is an arithmetic number, because the mean of its divisors is an integer number (4483437).

Almost surely, 2^106616288 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 106616288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107602488).

106616288 is an abundant number, since it is smaller than the sum of its proper divisors (108588688).

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

106616288 is a wasteful number, since it uses less digits than its factorization.

106616288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 106616288 is about 10325.5163551272. The cubic root of 106616288 is about 474.1777656986.

The spelling of 106616288 in words is "one hundred six million, six hundred sixteen thousand, two hundred eighty-eight".