107782203204 has 405 divisors, whose sum is σ = 324261936999. Its totient is φ = 31201822080.

The previous prime is 107782203167. The next prime is 107782203211. The reversal of 107782203204 is 402302287701.

The square root of 107782203204 is 328302.

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

107782203204 is a `hidden beast` number, since 107 + 7 + 8 + 220 + 320 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75795596100 + 31986607104 = 275310^2 + 178848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1766921334 + ... + 1766921394.

Almost surely, 2^107782203204 is an apocalyptic number.

107782203204 is the 328302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107782203204

107782203204 is an abundant number, since it is smaller than the sum of its proper divisors (216479733795).

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

107782203204 is a wasteful number, since it uses less digits than its factorization.

107782203204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 107782203204 by its sum of digits (36), we get a square (3880159315344 = 1969812²).

107782203204 divided by its sum of digits (36) gives a square (2993950089 = 54717²).

The spelling of 107782203204 in words is "one hundred seven billion, seven hundred eighty-two million, two hundred three thousand, two hundred four".