105000975 has 24 divisors (see below), whose sum is σ = 192891920. Its totient is φ = 56000160.

The previous prime is 105000971. The next prime is 105000979. The reversal of 105000975 is 579000501.

It is an interprime number because it is at equal distance from previous prime (105000971) and next prime (105000979).

It is not a de Polignac number, because 105000975 - 2² = 105000971 is a prime.

It is a super-2 number, since 2×105000975² = 22050409501901250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77104 + ... + 78453.

Almost surely, 2^105000975 is an apocalyptic number.

105000975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105000975 is a deficient number, since it is larger than the sum of its proper divisors (87890945).

105000975 is a wasteful number, since it uses less digits than its factorization.

105000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155576 (or 155565 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 105000975 is about 10246.9983409777. The cubic root of 105000975 is about 471.7708582657.

The spelling of 105000975 in words is "one hundred five million, nine hundred seventy-five", and thus it is an aban number.