106470936 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 29704320.

The previous prime is 106470929. The next prime is 106470971. The reversal of 106470936 is 639074601.

106470936 is a `hidden beast` number, since 1 + 0 + 647 + 0 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×106470936² = 22672120425432192, 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 106470936.

It is a congruent number.

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, 277801 + ... + 278183.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^106470936 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 106470936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

106470936 is an abundant number, since it is smaller than the sum of its proper divisors (245764584).

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

106470936 is a wasteful number, since it uses less digits than its factorization.

106470936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

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

The square root of 106470936 is about 10318.4754687890. The cubic root of 106470936 is about 473.9621825301.

The spelling of 106470936 in words is "one hundred six million, four hundred seventy thousand, nine hundred thirty-six".