105001030 has 32 divisors (see below), whose sum is σ = 205378560. Its totient is φ = 38504160.

The previous prime is 105001019. The next prime is 105001031. The reversal of 105001030 is 30100501.

It is a super-2 number, since 2×105001030² = 22050432602121800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 105000998 and 105001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 14803.

It is an arithmetic number, because the mean of its divisors is an integer number (6418080).

Almost surely, 2^105001030 is an apocalyptic number.

105001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105001030 is a deficient number, since it is larger than the sum of its proper divisors (100377530).

105001030 is a wasteful number, since it uses less digits than its factorization.

105001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17884.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105001030 is about 10247.0010246901. The cubic root of 105001030 is about 471.7709406377.

Adding to 105001030 its reverse (30100501), we get a palindrome (135101531).

The spelling of 105001030 in words is "one hundred five million, one thousand, thirty".