10054935 has 80 divisors (see below), whose sum is σ = 20525472. Its totient is φ = 4665600.

The previous prime is 10054931. The next prime is 10054937. The reversal of 10054935 is 53945001.

It is not a de Polignac number, because 10054935 - 2² = 10054931 is a prime.

It is a super-2 number, since 2×10054935² = 202203435708450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 10054899 and 10054908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054931) 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 79 ways as a sum of consecutive naturals, for example, 164805 + ... + 164865.

Almost surely, 2^10054935 is an apocalyptic number.

10054935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10054935 is an abundant number, since it is smaller than the sum of its proper divisors (10470537).

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

10054935 is a wasteful number, since it uses less digits than its factorization.

10054935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10054935 is about 3170.9517498694. The cubic root of 10054935 is about 215.8372616800.

Adding to 10054935 its reverse (53945001), we get a palindrome (63999936).

It can be divided in two parts, 1005 and 4935, that multiplied together give a triangular number (4959675 = T₃₁₄₉).

The spelling of 10054935 in words is "ten million, fifty-four thousand, nine hundred thirty-five".