106346016 has 288 divisors, whose sum is σ = 382112640. Its totient is φ = 27353088.

The previous prime is 106346003. The next prime is 106346063. The reversal of 106346016 is 610643601.

106346016 is a `hidden beast` number, since 10 + 634 + 6 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106346016² = 22618950238144512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993835 + ... + 993941.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^106346016 is an apocalyptic number.

106346016 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 106346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

106346016 is an abundant number, since it is smaller than the sum of its proper divisors (275766624).

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

106346016 is a wasteful number, since it uses less digits than its factorization.

106346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106346016 is about 10312.4204724206. The cubic root of 106346016 is about 473.7767468649.

Adding to 106346016 its reverse (610643601), we get a palindrome (716989617).

The spelling of 106346016 in words is "one hundred six million, three hundred forty-six thousand, sixteen".