105751730 has 32 divisors (see below), whose sum is σ = 230345856. Its totient is φ = 34124544.

The previous prime is 105751727. The next prime is 105751733. The reversal of 105751730 is 37157501.

It is an interprime number because it is at equal distance from previous prime (105751727) and next prime (105751733).

It is a super-2 number, since 2×105751730² = 22366856795985800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105751693 and 105751702.

It is not an unprimeable number, because it can be changed into a prime (105751733) by changing a digit.

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, 43244 + ... + 45623.

It is an arithmetic number, because the mean of its divisors is an integer number (7198308).

Almost surely, 2^105751730 is an apocalyptic number.

105751730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105751730 is an abundant number, since it is smaller than the sum of its proper divisors (124594126).

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

105751730 is a wasteful number, since it uses less digits than its factorization.

105751730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88898.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 105751730 is about 10283.5660157360. The cubic root of 105751730 is about 472.8925733444.

The spelling of 105751730 in words is "one hundred five million, seven hundred fifty-one thousand, seven hundred thirty".