106407936 has 144 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 33792000.

The previous prime is 106407911. The next prime is 106407937. The reversal of 106407936 is 639704601.

106407936 is a `hidden beast` number, since 1 + 0 + 640 + 7 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106407936² = 22645297687560192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106407936.

It is not an unprimeable number, because it can be changed into a prime (106407937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423811 + ... + 424061.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^106407936 is an apocalyptic number.

106407936 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 106407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

106407936 is an abundant number, since it is smaller than the sum of its proper divisors (215557344).

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

106407936 is a wasteful number, since it uses less digits than its factorization.

106407936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106407936 is about 10315.4222405096. The cubic root of 106407936 is about 473.8686812424.

The spelling of 106407936 in words is "one hundred six million, four hundred seven thousand, nine hundred thirty-six".