100105038 has 32 divisors (see below), whose sum is σ = 242680320. Its totient is φ = 30334680.

The previous prime is 100105037. The next prime is 100105063. The reversal of 100105038 is 830501001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100105038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105037) 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 15 ways as a sum of consecutive naturals, for example, 83670 + ... + 84857.

It is an arithmetic number, because the mean of its divisors is an integer number (7583760).

Almost surely, 2^100105038 is an apocalyptic number.

100105038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100105038 is an abundant number, since it is smaller than the sum of its proper divisors (142575282).

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

100105038 is a wasteful number, since it uses less digits than its factorization.

100105038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168549 (or 168543 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100105038 is about 10005.2505216011. The cubic root of 100105038 is about 464.3213408965.

Adding to 100105038 its reverse (830501001), we get a palindrome (930606039).

The spelling of 100105038 in words is "one hundred million, one hundred five thousand, thirty-eight".