105073335 has 32 divisors (see below), whose sum is σ = 187418880. Its totient is φ = 55852704.

The previous prime is 105073321. The next prime is 105073343. The reversal of 105073335 is 533370501.

It is not a de Polignac number, because 105073335 - 2⁶ = 105073271 is a prime.

It is a super-2 number, since 2×105073335² = 22080811456044450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105073299 and 105073308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45724 + ... + 47966.

It is an arithmetic number, because the mean of its divisors is an integer number (5856840).

Almost surely, 2^105073335 is an apocalyptic number.

105073335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105073335 is a deficient number, since it is larger than the sum of its proper divisors (82345545).

105073335 is a wasteful number, since it uses less digits than its factorization.

105073335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 105073335 is about 10250.5285229592. The cubic root of 105073335 is about 471.8792048804.

The spelling of 105073335 in words is "one hundred five million, seventy-three thousand, three hundred thirty-five".