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105523464508 = 227211223918617
BaseRepresentation
bin110001001000110110…
…0000100100100111100
3101002101010000102010021
41202101230010210330
53212103001331013
6120250554021524
710423653435400
oct1422154044474
9332333012107
10105523464508
1140830276800
121854b7178a4
139c48c4a737
145170865100
152b290e1a8d
hex1891b0493c

105523464508 has 108 divisors (see below), whose sum is σ = 237120337440. Its totient is φ = 40938817920.

The previous prime is 105523464401. The next prime is 105523464547. The reversal of 105523464508 is 805464325501.

It is a super-2 number, since 2×1055234645082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5658816 + ... + 5677432.

It is an arithmetic number, because the mean of its divisors is an integer number (2195558680).

Almost surely, 2105523464508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105523464508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118560168720).

105523464508 is an abundant number, since it is smaller than the sum of its proper divisors (131596872932).

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

105523464508 is a wasteful number, since it uses less digits than its factorization.

105523464508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 105523464508 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-four thousand, five hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 239 242 308 478 484 539 847 956 1078 1673 1694 2156 2629 3346 3388 5258 5929 6692 10516 11711 11858 18403 18617 23422 23716 28919 36806 37234 46844 57838 73612 74468 115676 128821 130319 202433 204787 257642 260638 404866 409574 515284 521276 809732 819148 912233 1417031 1433509 1824466 2252657 2834062 2867018 3648932 4449463 4505314 5668124 5734036 8898926 9010628 10034563 15768599 17797852 20069126 31146241 31537198 40138252 48944093 62292482 63074396 97888186 110380193 124584964 195776372 218023687 220760386 342608651 436047374 441520772 538385023 685217302 872094748 1076770046 1370434604 2153540092 2398260557 3768695161 4796521114 7537390322 9593042228 15074780644 26380866127 52761732254 105523464508