105351461 has 8 divisors (see below), whose sum is σ = 109255800. Its totient is φ = 101465280.

The previous prime is 105351413. The next prime is 105351473. The reversal of 105351461 is 164153501.

It can be written as a sum of positive squares in 4 ways, for example, as 3724900 + 101626561 = 1930^2 + 10081^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105351461 - 2¹⁸ = 105089317 is a prime.

It is a super-2 number, since 2×105351461² = 22197860669669042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105351461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105351401) 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, 7895 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (13656975).

Almost surely, 2^105351461 is an apocalyptic number.

It is an amenable number.

105351461 is a deficient number, since it is larger than the sum of its proper divisors (3904339).

105351461 is an equidigital number, since it uses as much as digits as its factorization.

105351461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105351461 is about 10264.0859797646. The cubic root of 105351461 is about 472.2951881488.

The spelling of 105351461 in words is "one hundred five million, three hundred fifty-one thousand, four hundred sixty-one".