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106485121 = 729714593
BaseRepresentation
bin1100101100011…
…01010110000001
321102101000010101
412112031112001
5204230010441
614322202401
72432052151
oct626152601
9242330111
10106485121
1155120936
122b7b3401
13190a4562
14101dc761
159536231
hex658d581

106485121 has 4 divisors (see below), whose sum is σ = 106507012. Its totient is φ = 106463232.

The previous prime is 106485097. The next prime is 106485163. The reversal of 106485121 is 121584601.

106485121 is a nontrivial binomial coefficient, being equal to C(14594, 2).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20830096 + 85655025 = 4564^2 + 9255^2 .

It is a 3-Lehmer number, since φ(106485121) divides (106485121-1)3.

It is a cyclic number.

It is not a de Polignac number, because 106485121 - 25 = 106485089 is a prime.

It is a super-2 number, since 2×1064851212 = 22678161988769282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106485121.

It is not an unprimeable number, because it can be changed into a prime (106485191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 14593.

It is an arithmetic number, because the mean of its divisors is an integer number (26626753).

It is a Poulet number, since it divides 2106485120-1.

Almost surely, 2106485121 is an apocalyptic number.

106485121 is the 14593-rd triangular number and also the 7297-th hexagonal number.

106485121 is the 4865-th centered nonagonal number.

It is an amenable number.

106485121 is a deficient number, since it is larger than the sum of its proper divisors (21891).

106485121 is an equidigital number, since it uses as much as digits as its factorization.

106485121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21890.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 106485121 is about 10319.1628051892. The cubic root of 106485121 is about 473.9832300737.

The spelling of 106485121 in words is "one hundred six million, four hundred eighty-five thousand, one hundred twenty-one".

Divisors: 1 7297 14593 106485121