Search a number
-
+
106364554320 = 24352319268941
BaseRepresentation
bin110001100001111010…
…0100100110001010000
3101011112201200012102210
41203003310210301100
53220313311214240
6120510241312120
710453545536313
oct1430364446120
9334481605383
10106364554320
1141122021a52
1218745335640
13a05128920b
14521044897a
152b77d83780
hex18c3d24c50

106364554320 has 80 divisors (see below), whose sum is σ = 344066228352. Its totient is φ = 27130667520.

The previous prime is 106364554301. The next prime is 106364554321. The reversal of 106364554320 is 23455463601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1063645543202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106364554321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9628951 + ... + 9639990.

Almost surely, 2106364554320 is an apocalyptic number.

106364554320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106364554320 is an abundant number, since it is smaller than the sum of its proper divisors (237701674032).

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

106364554320 is a wasteful number, since it uses less digits than its factorization.

106364554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268980 (or 19268974 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 106364554320 in words is "one hundred six billion, three hundred sixty-four million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 19268941 38537882 57806823 77075764 96344705 115613646 154151528 192689410 231227292 289034115 308303056 385378820 443185643 462454584 578068230 770757640 886371286 924909168 1156136460 1329556929 1541515280 1772742572 2215928215 2312272920 2659113858 3545485144 4431856430 4624545840 5318227716 6647784645 7090970288 8863712860 10636455432 13295569290 17727425720 21272910864 26591138580 35454851440 53182277160 106364554320