106203636 has 252 divisors, whose sum is σ = 358189216. Its totient is φ = 26943840.

The previous prime is 106203619. The next prime is 106203659. The reversal of 106203636 is 636302601.

106203636 is a `hidden beast` number, since 1 + 0 + 6 + 20 + 3 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×106203636² = 22558424599240992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2469831 + ... + 2469873.

Almost surely, 2^106203636 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 106203636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179094608).

106203636 is an abundant number, since it is smaller than the sum of its proper divisors (251985580).

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

106203636 is a wasteful number, since it uses less digits than its factorization.

106203636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106203636 is about 10305.5148343011. The cubic root of 106203636 is about 473.5652157939.

The spelling of 106203636 in words is "one hundred six million, two hundred three thousand, six hundred thirty-six".