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105073254 = 233112131237
BaseRepresentation
bin1100100001101…
…00101001100110
321022201021102000
412100310221212
5203344321004
614232030130
72414052006
oct620645146
9238637360
10105073254
1154347100
122b232346
13189cba30
14dd52006
159357c39
hex6434a66

105073254 has 96 divisors (see below), whose sum is σ = 276618720. Its totient is φ = 29367360.

The previous prime is 105073231. The next prime is 105073261. The reversal of 105073254 is 452370501.

It is a happy number.

It is a super-2 number, since 2×1050732542 = 22080777412297032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84324 + ... + 85560.

It is an arithmetic number, because the mean of its divisors is an integer number (2881445).

Almost surely, 2105073254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105073254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309360).

105073254 is an abundant number, since it is smaller than the sum of its proper divisors (171545466).

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

105073254 is a wasteful number, since it uses less digits than its factorization.

105073254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105073254 is about 10250.5245719426. The cubic root of 105073254 is about 471.8790836247.

The spelling of 105073254 in words is "one hundred five million, seventy-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 121 143 198 234 242 286 297 351 363 429 594 702 726 858 1089 1237 1287 1573 2178 2474 2574 3146 3267 3711 3861 4719 6534 7422 7722 9438 11133 13607 14157 16081 22266 27214 28314 32162 33399 40821 42471 48243 66798 81642 84942 96486 122463 144729 149677 176891 244926 289458 299354 353782 367389 434187 449031 530673 734778 868374 898062 1061346 1347093 1592019 1945801 2694186 3184038 3891602 4041279 4776057 5837403 8082558 9552114 11674806 17512209 35024418 52536627 105073254