105307553 has 8 divisors (see below), whose sum is σ = 114844800. Its totient is φ = 95975568.

The previous prime is 105307493. The next prime is 105307561. The reversal of 105307553 is 355703501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105307553 - 2¹⁰ = 105306529 is a prime.

It is a super-2 number, since 2×105307553² = 22179361437695618, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105307753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50243 + ... + 52296.

It is an arithmetic number, because the mean of its divisors is an integer number (14355600).

Almost surely, 2^105307553 is an apocalyptic number.

105307553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105307553 is a deficient number, since it is larger than the sum of its proper divisors (9537247).

105307553 is a wasteful number, since it uses less digits than its factorization.

105307553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102631.

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 105307553 is about 10261.9468425830. The cubic root of 105307553 is about 472.2295652058.

The spelling of 105307553 in words is "one hundred five million, three hundred seven thousand, five hundred fifty-three".