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105940485225 = 365224112
BaseRepresentation
bin110001010101010001…
…0111000010001101001
3101010110011201021000000
41202222202320101221
53213431231011400
6120400212133213
710440206160261
oct1425242702151
9333404637000
10105940485225
1140a24707623
1218647307209
139cb446b363
1451addba7a1
152b50a18600
hex18aa8b8469

105940485225 has 63 divisors (see below), whose sum is σ = 197040928039. Its totient is φ = 56478157200.

The previous prime is 105940485197. The next prime is 105940485239. The reversal of 105940485225 is 522584049501.

The square root of 105940485225 is 325485.

It is a perfect power (a square), and thus also a powerful number.

105940485225 is a `hidden beast` number, since 1 + 0 + 594 + 0 + 4 + 8 + 52 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38138574681 + 67801910544 = 195291^2 + 260388^2 .

It is not a de Polignac number, because 105940485225 - 217 = 105940354153 is a prime.

It is a super-2 number, since 2×1059404852252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43939270 + ... + 43941680.

Almost surely, 2105940485225 is an apocalyptic number.

105940485225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105940485225 is the 325485-th square number.

105940485225 is the 162743-rd centered octagonal number.

It is an amenable number.

105940485225 is a deficient number, since it is larger than the sum of its proper divisors (91100442814).

105940485225 is an frugal number, since it uses more digits than its factorization.

105940485225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105940485225 in words is "one hundred five billion, nine hundred forty million, four hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2411 3645 6075 7233 12055 18225 21699 36165 60275 65097 108495 180825 195291 325485 542475 585873 976455 1627425 1757619 2929365 4882275 5812921 8788095 14646825 17438763 29064605 43940475 52316289 87193815 145323025 156948867 261581445 435969075 470846601 784744335 1307907225 1412539803 2354233005 3923721675 4237619409 7062699015 11771165025 21188097045 35313495075 105940485225