107285071936 has 63 divisors (see below), whose sum is σ = 247694336589. Its totient is φ = 45971455488.

The previous prime is 107285071919. The next prime is 107285071937. The reversal of 107285071936 is 639170582701.

It is a happy number.

The square root of 107285071936 is 327544.

It is a perfect power (a square), and thus also a powerful number.

107285071936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36230838336 + 71054233600 = 190344^2 + 266560^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 107285071936.

It is not an unprimeable number, because it can be changed into a prime (107285071937) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18339540 + ... + 18345388.

Almost surely, 2^107285071936 is an apocalyptic number.

107285071936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107285071936 is the 327544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107285071936

107285071936 is an abundant number, since it is smaller than the sum of its proper divisors (140409264653).

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

107285071936 is an frugal number, since it uses more digits than its factorization.

107285071936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 107285071936 by its sum of digits (49), we get a square (5256968524864 = 2292808²).

107285071936 divided by its sum of digits (49) gives a square (2189491264 = 46792²).

The spelling of 107285071936 in words is "one hundred seven billion, two hundred eighty-five million, seventy-one thousand, nine hundred thirty-six".