105002190 has 32 divisors (see below), whose sum is σ = 280006560. Its totient is φ = 28000512.

The previous prime is 105002179. The next prime is 105002197. The reversal of 105002190 is 91200501.

It is a super-2 number, since 2×105002190² = 22050919809592200, 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 not an unprimeable number, because it can be changed into a prime (105002197) 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, 194179 + ... + 194718.

It is an arithmetic number, because the mean of its divisors is an integer number (8750205).

Almost surely, 2^105002190 is an apocalyptic number.

105002190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105002190 is an abundant number, since it is smaller than the sum of its proper divisors (175004370).

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

105002190 is a wasteful number, since it uses less digits than its factorization.

105002190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388913 (or 388907 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 105002190 is about 10247.0576264604. The cubic root of 105002190 is about 471.7726779294.

Adding to 105002190 its reverse (91200501), we get a palindrome (196202691).

The spelling of 105002190 in words is "one hundred five million, two thousand, one hundred ninety".