105735390 has 32 divisors (see below), whose sum is σ = 257246496. Its totient is φ = 27809280.

The previous prime is 105735373. The next prime is 105735403. The reversal of 105735390 is 93537501.

It is a super-2 number, since 2×105735390² = 22359945396904200, 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 15 ways as a sum of consecutive naturals, for example, 21951 + ... + 26330.

It is an arithmetic number, because the mean of its divisors is an integer number (8038953).

Almost surely, 2^105735390 is an apocalyptic number.

105735390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105735390 is an abundant number, since it is smaller than the sum of its proper divisors (151511106).

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

105735390 is a wasteful number, since it uses less digits than its factorization.

105735390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48364.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 105735390 is about 10282.7715135561. The cubic root of 105735390 is about 472.8682160985.

The spelling of 105735390 in words is "one hundred five million, seven hundred thirty-five thousand, three hundred ninety".