41906184100 has 81 divisors (see below), whose sum is σ = 100008646563. Its totient is φ = 15230424000.

The previous prime is 41906184071. The next prime is 41906184109. The reversal of 41906184100 is 148160914.

The square root of 41906184100 is 204710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25489399716 + 16416784384 = 159654^2 + 128128^2 .

It is a super-2 number, since 2×41906184100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41906184109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22517170 + ... + 22519030.

Almost surely, 2^41906184100 is an apocalyptic number.

41906184100 is the 204710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41906184100

41906184100 is an abundant number, since it is smaller than the sum of its proper divisors (58102462463).

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

41906184100 is a wasteful number, since it uses less digits than its factorization.

41906184100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 41906184100 in words is "forty-one billion, nine hundred six million, one hundred eighty-four thousand, one hundred".