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105241645 = 5171238137
BaseRepresentation
bin1100100010111…
…01110000101101
321100000211101201
412101131300231
5203420213040
614235405501
72415352645
oct621356055
9240024351
10105241645
1154451673
122b2b3891
1318a5a582
14dd97525
15938ca9a
hex645dc2d

105241645 has 8 divisors (see below), whose sum is σ = 133718904. Its totient is φ = 79240704.

The previous prime is 105241639. The next prime is 105241723. The reversal of 105241645 is 546142501.

It can be written as a sum of positive squares in 4 ways, for example, as 47527236 + 57714409 = 6894^2 + 7597^2 .

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 105241645 - 23 = 105241637 is a prime.

It is a super-3 number, since 3×1052416453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618984 + ... + 619153.

It is an arithmetic number, because the mean of its divisors is an integer number (16714863).

Almost surely, 2105241645 is an apocalyptic number.

It is an amenable number.

105241645 is a deficient number, since it is larger than the sum of its proper divisors (28477259).

105241645 is a wasteful number, since it uses less digits than its factorization.

105241645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238159.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105241645 is about 10258.7350584758. The cubic root of 105241645 is about 472.1310277929.

The spelling of 105241645 in words is "one hundred five million, two hundred forty-one thousand, six hundred forty-five".

Divisors: 1 5 17 85 1238137 6190685 21048329 105241645