105053793 has 16 divisors (see below), whose sum is σ = 158786880. Its totient is φ = 61245504.

The previous prime is 105053783. The next prime is 105053797. The reversal of 105053793 is 397350501.

It is not a de Polignac number, because 105053793 - 2¹⁴ = 105037409 is a prime.

It is a super-2 number, since 2×105053793² = 22072598847373698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105053797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70146 + ... + 71627.

It is an arithmetic number, because the mean of its divisors is an integer number (9924180).

Almost surely, 2^105053793 is an apocalyptic number.

105053793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105053793 is a deficient number, since it is larger than the sum of its proper divisors (53733087).

105053793 is a wasteful number, since it uses less digits than its factorization.

105053793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141808.

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

The square root of 105053793 is about 10249.5752594925. The cubic root of 105053793 is about 471.8499490115.

The spelling of 105053793 in words is "one hundred five million, fifty-three thousand, seven hundred ninety-three".