100947546 has 108 divisors (see below), whose sum is σ = 265884138. Its totient is φ = 28658448.

The previous prime is 100947541. The next prime is 100947557. The reversal of 100947546 is 645749001.

100947546 is a `hidden beast` number, since 100 + 9 + 4 + 7 + 546 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92910321 + 8037225 = 9639^2 + 2835^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100947546.

It is not an unprimeable number, because it can be changed into a prime (100947541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 642900 + ... + 643056.

Almost surely, 2^100947546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100947546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132942069).

100947546 is an abundant number, since it is smaller than the sum of its proper divisors (164936592).

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

100947546 is an frugal number, since it uses more digits than its factorization.

100947546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 100947546 is about 10047.2655981615. The cubic root of 100947546 is about 465.6203167614.

The spelling of 100947546 in words is "one hundred million, nine hundred forty-seven thousand, five hundred forty-six".