106499016 has 256 divisors, whose sum is σ = 355622400. Its totient is φ = 29196288.

The previous prime is 106499011. The next prime is 106499023. The reversal of 106499016 is 610994601.

106499016 is a `hidden beast` number, since 1 + 0 + 649 + 9 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×106499016² = 22684080817936512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106499011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097880 + ... + 1097976.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^106499016 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 106499016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

106499016 is an abundant number, since it is smaller than the sum of its proper divisors (249123384).

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

106499016 is a wasteful number, since it uses less digits than its factorization.

106499016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106499016 is about 10319.8360452092. The cubic root of 106499016 is about 474.0038455064.

The spelling of 106499016 in words is "one hundred six million, four hundred ninety-nine thousand, sixteen".