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97020105 = 357131737113
BaseRepresentation
bin1011100100001…
…10100011001001
320202120010120020
411302012203021
5144314120410
613343251053
72255441310
oct562064311
9222503506
1097020105
114a846706
12285a9a89
131713c360
14cc57277
1587b6a70
hex5c868c9

97020105 has 128 divisors (see below), whose sum is σ = 209599488. Its totient is φ = 37158912.

The previous prime is 97020103. The next prime is 97020107. The reversal of 97020105 is 50102079.

It is an interprime number because it is at equal distance from previous prime (97020103) and next prime (97020107).

It is not a de Polignac number, because 97020105 - 21 = 97020103 is a prime.

It is a super-2 number, since 2×970201052 = 18825801548422050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97020103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 858529 + ... + 858641.

It is an arithmetic number, because the mean of its divisors is an integer number (1637496).

Almost surely, 297020105 is an apocalyptic number.

It is an amenable number.

97020105 is an abundant number, since it is smaller than the sum of its proper divisors (112579383).

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

97020105 is a wasteful number, since it uses less digits than its factorization.

97020105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 97020105 is about 9849.8784256457. The cubic root of 97020105 is about 459.5018315162.

The spelling of 97020105 in words is "ninety-seven million, twenty thousand, one hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 37 39 51 65 85 91 105 111 113 119 185 195 221 255 259 273 339 357 455 481 555 565 595 629 663 777 791 1105 1295 1365 1443 1469 1547 1695 1785 1887 1921 2373 2405 3145 3315 3367 3885 3955 4181 4403 4407 4641 5763 7215 7345 7735 8177 9435 9605 10101 10283 11865 12543 13209 13447 16835 20905 22015 22035 23205 24531 24973 28815 29267 30849 40341 40885 50505 51415 54353 57239 62715 66045 67235 71077 74919 87801 122655 124865 146335 154245 163059 171717 174811 201705 213231 271765 286195 355385 374595 380471 439005 497539 524433 815295 858585 874055 924001 1066155 1141413 1492617 1902355 2487695 2622165 2772003 4620005 5707065 6468007 7463085 13860015 19404021 32340035 97020105