100420446546 has 128 divisors (see below), whose sum is σ = 261488240640. Its totient is φ = 27968359104.

The previous prime is 100420446541. The next prime is 100420446583. The reversal of 100420446546 is 645644024001.

100420446546 is a `hidden beast` number, since 100 + 4 + 2 + 0 + 4 + 4 + 6 + 546 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100420446546.

It is not an unprimeable number, because it can be changed into a prime (100420446541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8494936 + ... + 8506748.

It is an arithmetic number, because the mean of its divisors is an integer number (2042876880).

Almost surely, 2^100420446546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420446546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130744120320).

100420446546 is an abundant number, since it is smaller than the sum of its proper divisors (161067794094).

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

100420446546 is a wasteful number, since it uses less digits than its factorization.

100420446546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 100420446546 in words is "one hundred billion, four hundred twenty million, four hundred forty-six thousand, five hundred forty-six".