106936416 has 96 divisors (see below), whose sum is σ = 317167200. Its totient is φ = 35043840.

The previous prime is 106936411. The next prime is 106936433. The reversal of 106936416 is 614639601.

106936416 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106936416² = 22870794133850112, 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 (106936411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51690 + ... + 53718.

It is an arithmetic number, because the mean of its divisors is an integer number (3303825).

Almost surely, 2^106936416 is an apocalyptic number.

106936416 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 106936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158583600).

106936416 is an abundant number, since it is smaller than the sum of its proper divisors (210230784).

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

106936416 is a wasteful number, since it uses less digits than its factorization.

106936416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106936416 is about 10341.0065274131. The cubic root of 106936416 is about 474.6518830700.

The spelling of 106936416 in words is "one hundred six million, nine hundred thirty-six thousand, four hundred sixteen".