4182065900100 has 243 divisors, whose sum is σ = 14410790563351. Its totient is φ = 1013670556800.

The previous prime is 4182065900087. The next prime is 4182065900137. The reversal of 4182065900100 is 10095602814.

The square root of 4182065900100 is 2045010.

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

4182065900100 is a `hidden beast` number, since 41 + 8 + 20 + 6 + 590 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255390751044 + 3926675149056 = 505362^2 + 1981584^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 674850202 + ... + 674856398.

Almost surely, 2^{4182065900100} is an apocalyptic number.

4182065900100 is the 2045010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182065900100

4182065900100 is an abundant number, since it is smaller than the sum of its proper divisors (10228724663251).

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

4182065900100 is a wasteful number, since it uses less digits than its factorization.

4182065900100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 4182065900100 by its sum of digits (36), we get a square (150554372403600 = 12270060²).

4182065900100 divided by its sum of digits (36) gives a square (116168497225 = 340835²).

The spelling of 4182065900100 in words is "four trillion, one hundred eighty-two billion, sixty-five million, nine hundred thousand, one hundred".