105075990 has 96 divisors (see below), whose sum is σ = 285742080. Its totient is φ = 26756352.

The previous prime is 105075979. The next prime is 105076003. The reversal of 105075990 is 99570501.

It is a happy number.

105075990 is a `hidden beast` number, since 10 + 50 + 7 + 599 + 0 = 666.

It is a super-2 number, since 2×105075990² = 22081927348960200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331312 + ... + 331628.

It is an arithmetic number, because the mean of its divisors is an integer number (2976480).

Almost surely, 2^105075990 is an apocalyptic number.

105075990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105075990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142871040).

105075990 is an abundant number, since it is smaller than the sum of its proper divisors (180666090).

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

105075990 is a wasteful number, since it uses less digits than its factorization.

105075990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 105075990 is about 10250.6580276585. The cubic root of 105075990 is about 471.8831793387.

The spelling of 105075990 in words is "one hundred five million, seventy-five thousand, nine hundred ninety".