105152641 has 8 divisors (see below), whose sum is σ = 114789024. Its totient is φ = 95529120.

The previous prime is 105152629. The next prime is 105152647. The reversal of 105152641 is 146251501.

It is a happy number.

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 105152641 - 2⁵ = 105152609 is a prime.

It is a super-2 number, since 2×105152641² = 22114155818549762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105152647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23781 + ... + 27853.

It is an arithmetic number, because the mean of its divisors is an integer number (14348628).

Almost surely, 2^105152641 is an apocalyptic number.

105152641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105152641 is a deficient number, since it is larger than the sum of its proper divisors (9636383).

105152641 is a wasteful number, since it uses less digits than its factorization.

105152641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105152641 is about 10254.3961792004. The cubic root of 105152641 is about 471.9978948125.

The spelling of 105152641 in words is "one hundred five million, one hundred fifty-two thousand, six hundred forty-one".