105036921 has 36 divisors (see below), whose sum is σ = 174741840. Its totient is φ = 60287760.

The previous prime is 105036913. The next prime is 105036961. The reversal of 105036921 is 129630501.

It is not a de Polignac number, because 105036921 - 2³ = 105036913 is a prime.

It is a super-2 number, since 2×105036921² = 22065509546320482, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105036961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34270 + ... + 37208.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2^105036921 is an apocalyptic number.

105036921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105036921 is a deficient number, since it is larger than the sum of its proper divisors (69704919).

105036921 is a wasteful number, since it uses less digits than its factorization.

105036921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105036921 is about 10248.7521679471. The cubic root of 105036921 is about 471.8246874182.

It can be divided in two parts, 10503 and 6921, that added together give a square (17424 = 132²).

The spelling of 105036921 in words is "one hundred five million, thirty-six thousand, nine hundred twenty-one".