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105248115 = 32572373199
BaseRepresentation
bin1100100010111…
…11010101110011
321100001011021100
412101133111303
5203420414430
614235455443
72415410550
oct621372563
9240034240
10105248115
1154456515
122b2b7583
1318a604bb
14dd99a27
15938e960
hex645f573

105248115 has 96 divisors (see below), whose sum is σ = 221644800. Its totient is φ = 45163008.

The previous prime is 105248063. The next prime is 105248123. The reversal of 105248115 is 511842501.

It is not a de Polignac number, because 105248115 - 26 = 105248051 is a prime.

It is a super-2 number, since 2×1052481152 = 22154331422106450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528786 + ... + 528984.

It is an arithmetic number, because the mean of its divisors is an integer number (2308800).

Almost surely, 2105248115 is an apocalyptic number.

105248115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105248115 is an abundant number, since it is smaller than the sum of its proper divisors (116396685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105248115 is a wasteful number, since it uses less digits than its factorization.

105248115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105248115 is about 10259.0503946515. The cubic root of 105248115 is about 472.1407027499.

The spelling of 105248115 in words is "one hundred five million, two hundred forty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 73 105 115 161 199 207 219 315 345 365 483 511 597 657 805 995 1035 1095 1393 1449 1533 1679 1791 2415 2555 2985 3285 4179 4577 4599 5037 6965 7245 7665 8395 8955 11753 12537 13731 14527 15111 20895 22885 22995 25185 32039 35259 41193 43581 58765 62685 68655 72635 75555 96117 101689 105777 130743 160195 176295 205965 217905 288351 305067 334121 480585 508445 528885 653715 915201 1002363 1441755 1525335 1670605 2338847 3007089 4576005 5011815 7016541 11694235 15035445 21049623 35082705 105248115