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105272107895 = 51771109160033
BaseRepresentation
bin110001000001010110…
…1001110001101110111
3101001201121001011200002
41202002231032031313
53211044124423040
6120210014341515
710414512103313
oct1420255161567
9331647034602
10105272107895
11407113a6869
121849b4ba89b
139c08b51706
145149314b43
152b11ee0a15
hex1882b4e377

105272107895 has 32 divisors (see below), whose sum is σ = 136886682240. Its totient is φ = 77429882880.

The previous prime is 105272107873. The next prime is 105272107931. The reversal of 105272107895 is 598701272501.

It is not a de Polignac number, because 105272107895 - 28 = 105272107639 is a prime.

It is a super-2 number, since 2×1052721078952 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577799 + ... + 737831.

It is an arithmetic number, because the mean of its divisors is an integer number (4277708820).

Almost surely, 2105272107895 is an apocalyptic number.

105272107895 is a deficient number, since it is larger than the sum of its proper divisors (31614574345).

105272107895 is a wasteful number, since it uses less digits than its factorization.

105272107895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160235.

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 105272107895 in words is "one hundred five billion, two hundred seventy-two million, one hundred seven thousand, eight hundred ninety-five".

Divisors: 1 5 17 71 85 109 355 545 1207 1853 6035 7739 9265 38695 131563 160033 657815 800165 2720561 11362343 13602805 17443597 56811715 87217985 193159831 296541149 965799155 1238495387 1482705745 6192476935 21054421579 105272107895