105398096 has 20 divisors (see below), whose sum is σ = 216221652. Its totient is φ = 49598976.

The previous prime is 105398071. The next prime is 105398101. The reversal of 105398096 is 690893501.

It can be written as a sum of positive squares in 2 ways, for example, as 83905600 + 21492496 = 9160^2 + 4636^2 .

It is a super-2 number, since 2×105398096² = 22217517280850432, 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 3 ways as a sum of consecutive naturals, for example, 193475 + ... + 194018.

Almost surely, 2^105398096 is an apocalyptic number.

105398096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105398096 is an abundant number, since it is smaller than the sum of its proper divisors (110823556).

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

105398096 is a wasteful number, since it uses less digits than its factorization.

105398096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387518 (or 387512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 105398096 is about 10266.3574845220. The cubic root of 105398096 is about 472.3648667805.

The spelling of 105398096 in words is "one hundred five million, three hundred ninety-eight thousand, ninety-six".