105293650 has 72 divisors (see below), whose sum is σ = 248595696. Its totient is φ = 32810400.

The previous prime is 105293641. The next prime is 105293651. The reversal of 105293650 is 56392501.

It is a super-2 number, since 2×105293650² = 22173505460645000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105293651) 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 35 ways as a sum of consecutive naturals, for example, 24997 + ... + 28903.

It is an arithmetic number, because the mean of its divisors is an integer number (3452718).

Almost surely, 2^105293650 is an apocalyptic number.

105293650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105293650 is an abundant number, since it is smaller than the sum of its proper divisors (143302046).

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

105293650 is a wasteful number, since it uses less digits than its factorization.

105293650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105293650 is about 10261.2694146485. The cubic root of 105293650 is about 472.2087825984.

The spelling of 105293650 in words is "one hundred five million, two hundred ninety-three thousand, six hundred fifty".