105351521 has 16 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 93646800.

The previous prime is 105351517. The next prime is 105351529. The reversal of 105351521 is 125153501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105351521 - 2² = 105351517 is a prime.

It is a super-2 number, since 2×105351521² = 22197885954026882, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105351529) 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, 175580 + ... + 176178.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2^105351521 is an apocalyptic number.

105351521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105351521 is a deficient number, since it is larger than the sum of its proper divisors (12152479).

105351521 is a wasteful number, since it uses less digits than its factorization.

105351521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105351521 is about 10264.0889025768. The cubic root of 105351521 is about 472.2952778097.

The spelling of 105351521 in words is "one hundred five million, three hundred fifty-one thousand, five hundred twenty-one".