106415616 has 80 divisors (see below), whose sum is σ = 293396400. Its totient is φ = 34234368.

The previous prime is 106415611. The next prime is 106415627. The reversal of 106415616 is 616514601.

It is a super-2 number, since 2×106415616² = 22648566657318912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415611) by changing a digit.

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, 43350 + ... + 45738.

It is an arithmetic number, because the mean of its divisors is an integer number (3667455).

Almost surely, 2^106415616 is an apocalyptic number.

106415616 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 106415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146698200).

106415616 is an abundant number, since it is smaller than the sum of its proper divisors (186980784).

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

106415616 is an equidigital number, since it uses as much as digits as its factorization.

106415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2423 counting only the distinct ones).

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

The square root of 106415616 is about 10315.7944919429. The cubic root of 106415616 is about 473.8800814695.

The spelling of 106415616 in words is "one hundred six million, four hundred fifteen thousand, six hundred sixteen".