105059190 has 32 divisors (see below), whose sum is σ = 254645856. Its totient is φ = 27737600.

The previous prime is 105059183. The next prime is 105059231. The reversal of 105059190 is 91950501.

It is a super-2 number, since 2×105059190² = 22074866806912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14307 + ... + 20366.

It is an arithmetic number, because the mean of its divisors is an integer number (7957683).

Almost surely, 2^105059190 is an apocalyptic number.

105059190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105059190 is an abundant number, since it is smaller than the sum of its proper divisors (149586666).

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

105059190 is a wasteful number, since it uses less digits than its factorization.

105059190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34784.

The product of its (nonzero) digits is 2025, while the sum is 30.

The square root of 105059190 is about 10249.8385353136. The cubic root of 105059190 is about 471.8580290960.

The spelling of 105059190 in words is "one hundred five million, fifty-nine thousand, one hundred ninety".