100541052 has 72 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 32374944.

The previous prime is 100541039. The next prime is 100541069. The reversal of 100541052 is 250145001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165333 + ... + 165939.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2^100541052 is an apocalyptic number.

100541052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100541052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

100541052 is an abundant number, since it is smaller than the sum of its proper divisors (162377604).

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

100541052 is a wasteful number, since it uses less digits than its factorization.

100541052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100541052 is about 10027.0161064995. The cubic root of 100541052 is about 464.9944917835.

Adding to 100541052 its reverse (250145001), we get a palindrome (350686053).

The spelling of 100541052 in words is "one hundred million, five hundred forty-one thousand, fifty-two".