105100038 has 16 divisors (see below), whose sum is σ = 233555760. Its totient is φ = 35033328.

The previous prime is 105099997. The next prime is 105100043. The reversal of 105100038 is 830001501.

It is a happy number.

It is a super-2 number, since 2×105100038² = 22092035975202888, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973095 + ... + 973202.

It is an arithmetic number, because the mean of its divisors is an integer number (14597235).

Almost surely, 2^105100038 is an apocalyptic number.

105100038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105100038 is an abundant number, since it is smaller than the sum of its proper divisors (128455722).

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

105100038 is a wasteful number, since it uses less digits than its factorization.

105100038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946308 (or 1946302 counting only the distinct ones).

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

The square root of 105100038 is about 10251.8309584191. The cubic root of 105100038 is about 471.9191754500.

Adding to 105100038 its reverse (830001501), we get a palindrome (935101539).

The spelling of 105100038 in words is "one hundred five million, one hundred thousand, thirty-eight".