105358721 has 8 divisors (see below), whose sum is σ = 116530344. Its totient is φ = 94625280.

The previous prime is 105358697. The next prime is 105358733. The reversal of 105358721 is 127853501.

It can be written as a sum of positive squares in 4 ways, for example, as 14899600 + 90459121 = 3860^2 + 9511^2 .

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

It is not a de Polignac number, because 105358721 - 2⁶ = 105358657 is a prime.

It is a super-2 number, since 2×105358721² = 22200920181511682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105358751) 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, 109040 + ... + 110001.

It is an arithmetic number, because the mean of its divisors is an integer number (14566293).

Almost surely, 2^105358721 is an apocalyptic number.

It is an amenable number.

105358721 is a deficient number, since it is larger than the sum of its proper divisors (11171623).

105358721 is a wasteful number, since it uses less digits than its factorization.

105358721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219091.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105358721 is about 10264.4396339985. The cubic root of 105358721 is about 472.3060368650.

The spelling of 105358721 in words is "one hundred five million, three hundred fifty-eight thousand, seven hundred twenty-one".