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105650022352 = 2474347466751
BaseRepresentation
bin110001001100100111…
…0110110011111010000
3101002200221011012211211
41202121032312133100
53212332401203402
6120311314345504
710430051241610
oct1423116663720
9332627135754
10105650022352
1140895757566
1218585b8b294
139c6922c534
1451835aaa40
152b352904d7
hex18993b67d0

105650022352 has 80 divisors (see below), whose sum is σ = 244473495552. Its totient is φ = 43284528000.

The previous prime is 105650022301. The next prime is 105650022391. The reversal of 105650022352 is 253220056501.

It is a happy number.

It is a super-2 number, since 2×1056500223522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024 + ... + 459727.

Almost surely, 2105650022352 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 105650022352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122236747776).

105650022352 is an abundant number, since it is smaller than the sum of its proper divisors (138823473200).

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

105650022352 is a wasteful number, since it uses less digits than its factorization.

105650022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466856 (or 466850 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 105650022352 its reverse (253220056501), we get a palindrome (358870078853).

The spelling of 105650022352 in words is "one hundred five billion, six hundred fifty million, twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 47 56 86 94 112 172 188 301 329 344 376 602 658 688 752 1204 1316 2021 2408 2632 4042 4816 5264 8084 14147 16168 28294 32336 56588 113176 226352 466751 933502 1867004 3267257 3734008 6534514 7468016 13069028 20070293 21937297 26138056 40140586 43874594 52276112 80281172 87749188 140492051 153561079 160562344 175498376 280984102 307122158 321124688 350996752 561968204 614244316 943303771 1123936408 1228488632 1886607542 2247872816 2456977264 3773215084 6603126397 7546430168 13206252794 15092860336 26412505588 52825011176 105650022352