106777616 has 40 divisors (see below), whose sum is σ = 229967424. Its totient is φ = 47615360.

The previous prime is 106777607. The next prime is 106777637. The reversal of 106777616 is 616777601.

It is a super-2 number, since 2×106777616² = 22802918557286912, which contains 22 as substring.

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, 3605 + ... + 15051.

Almost surely, 2^106777616 is an apocalyptic number.

106777616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106777616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114983712).

106777616 is an abundant number, since it is smaller than the sum of its proper divisors (123189808).

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

106777616 is a wasteful number, since it uses less digits than its factorization.

106777616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 106777616 is about 10333.3255053734. The cubic root of 106777616 is about 474.4168148459.

The spelling of 106777616 in words is "one hundred six million, seven hundred seventy-seven thousand, six hundred sixteen".