105435738 has 24 divisors (see below), whose sum is σ = 229477248. Its totient is φ = 34986312.

The previous prime is 105435713. The next prime is 105435763. The reversal of 105435738 is 837534501.

It is an interprime number because it is at equal distance from previous prime (105435713) and next prime (105435763).

It is a super-2 number, since 2×105435738² = 22233389695209288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9120 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (9561552).

Almost surely, 2^105435738 is an apocalyptic number.

105435738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105435738 is an abundant number, since it is smaller than the sum of its proper divisors (124041510).

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

105435738 is a wasteful number, since it uses less digits than its factorization.

105435738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26498 (or 26495 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105435738 is about 10268.1905903621. The cubic root of 105435738 is about 472.4210937355.

The spelling of 105435738 in words is "one hundred five million, four hundred thirty-five thousand, seven hundred thirty-eight".