100002546 has 64 divisors (see below), whose sum is σ = 258197760. Its totient is φ = 28097280.

The previous prime is 100002541. The next prime is 100002569. The reversal of 100002546 is 645200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100002541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20890 + ... + 25226.

It is an arithmetic number, because the mean of its divisors is an integer number (4034340).

Almost surely, 2^100002546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129098880).

100002546 is an abundant number, since it is smaller than the sum of its proper divisors (158195214).

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

100002546 is a wasteful number, since it uses less digits than its factorization.

100002546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100002546 is about 10000.1272991897. The cubic root of 100002546 is about 464.1628224896.

Adding to 100002546 its reverse (645200001), we get a palindrome (745202547).

The spelling of 100002546 in words is "one hundred million, two thousand, five hundred forty-six".