106436520 has 96 divisors (see below), whose sum is σ = 348121800. Its totient is φ = 28202496.

The previous prime is 106436489. The next prime is 106436549. The reversal of 106436520 is 25634601.

106436520 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 652 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90897156 + 15539364 = 9534^2 + 3942^2 .

It is a super-2 number, since 2×106436520² = 22657465579420800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61426 + ... + 63134.

Almost surely, 2^106436520 is an apocalyptic number.

106436520 is a gapful number since it is divisible by the number (10) 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 106436520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174060900).

106436520 is an abundant number, since it is smaller than the sum of its proper divisors (241685280).

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

106436520 is a wasteful number, since it uses less digits than its factorization.

106436520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106436520 is about 10316.8076457788. The cubic root of 106436520 is about 473.9111086847.

The spelling of 106436520 in words is "one hundred six million, four hundred thirty-six thousand, five hundred twenty".