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105202141 = 1127073533
BaseRepresentation
bin1100100010101…
…00000111011101
321022221211012121
412101110013131
5203412432031
614234502541
72415126532
oct621240735
9238854177
10105202141
1154424a20
122b294a51
1318a455b5
14dd86d89
159381011
hex64541dd

105202141 has 8 divisors (see below), whose sum is σ = 114840864. Its totient is φ = 95575920.

The previous prime is 105202099. The next prime is 105202147. The reversal of 105202141 is 141202501.

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

It is not a de Polignac number, because 105202141 - 215 = 105169373 is a prime.

It is a super-2 number, since 2×1052021412 = 22134980941967762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28011 + ... + 31543.

It is an arithmetic number, because the mean of its divisors is an integer number (14355108).

Almost surely, 2105202141 is an apocalyptic number.

105202141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105202141 is a deficient number, since it is larger than the sum of its proper divisors (9638723).

105202141 is a wasteful number, since it uses less digits than its factorization.

105202141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105202141 is about 10256.8094941848. The cubic root of 105202141 is about 472.0719466239.

Adding to 105202141 its reverse (141202501), we get a palindrome (246404642).

The spelling of 105202141 in words is "one hundred five million, two hundred two thousand, one hundred forty-one".

Divisors: 1 11 2707 3533 29777 38863 9563831 105202141