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105555041152 = 2711220113389
BaseRepresentation
bin110001001001110010…
…0100001101110000000
3101002110022102200010121
41202103210201232000
53212134042304102
6120254042510024
710424516021521
oct1422344415600
9332408380117
10105555041152
1140847083800
121855a205314
139c52655242
145174b24848
152b2bc7cb37
hex1893921b80

105555041152 has 96 divisors (see below), whose sum is σ = 231323362200. Its totient is φ = 47941555200.

The previous prime is 105555041149. The next prime is 105555041183. The reversal of 105555041152 is 251140555501.

It is a super-2 number, since 2×1055550411522 (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 11 ways as a sum of consecutive naturals, for example, 31144674 + ... + 31148062.

Almost surely, 2105555041152 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 105555041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115661681100).

105555041152 is an abundant number, since it is smaller than the sum of its proper divisors (125768321048).

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

105555041152 is a wasteful number, since it uses less digits than its factorization.

105555041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 34.

Adding to 105555041152 its reverse (251140555501), we get a palindrome (356695596653).

The spelling of 105555041152 in words is "one hundred five billion, five hundred fifty-five million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 2011 3389 3872 4022 6778 7744 8044 13556 15488 16088 22121 27112 32176 37279 44242 54224 64352 74558 88484 108448 128704 149116 176968 216896 243331 257408 298232 353936 410069 433792 486662 596464 707872 820138 973324 1192928 1415744 1640276 1946648 2385856 2831488 3280552 3893296 4771712 6561104 6815279 7786592 13122208 13630558 15573184 26244416 27261116 31146368 52488832 54522232 74968069 109044464 149936138 218088928 299872276 436177856 599744552 824648759 872355712 1199489104 1649297518 2398978208 3298595036 4797956416 6597190072 9595912832 13194380144 26388760288 52777520576 105555041152