106087200368436 has 72 divisors (see below), whose sum is σ = 306496647737280. Its totient is φ = 30308402082816.

The previous prime is 106087200368417. The next prime is 106087200368437. The reversal of 106087200368436 is 634863002780601.

106087200368436 is a `hidden beast` number, since 1 + 0 + 608 + 7 + 20 + 0 + 3 + 6 + 8 + 4 + 3 + 6 = 666.

It is a super-2 number, since 2×106087200368436² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087200368437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12023661 + ... + 18887636.

It is an arithmetic number, because the mean of its divisors is an integer number (4256897885240).

Almost surely, 2^{106087200368436} is an apocalyptic number.

It is an amenable number.

106087200368436 is an abundant number, since it is smaller than the sum of its proper divisors (200409447368844).

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

106087200368436 is a wasteful number, since it uses less digits than its factorization.

106087200368436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30924933 (or 30924928 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 106087200368436 in words is "one hundred six trillion, eighty-seven billion, two hundred million, three hundred sixty-eight thousand, four hundred thirty-six".