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106938505443 = 3711719767219
BaseRepresentation
bin110001110011000001…
…0000001100011100011
3101020000201122221100210
41203212002001203203
53223002224133233
6121043223145203
710504015204230
oct1434602014343
9336021587323
10106938505443
1141396aa8a20
12188855a5203
13a113164373
145266770787
152bad458163
hex18e60818e3

106938505443 has 64 divisors (see below), whose sum is σ = 182132858880. Its totient is φ = 54204595200.

The previous prime is 106938505411. The next prime is 106938505511. The reversal of 106938505443 is 344505839601.

It is not a de Polignac number, because 106938505443 - 25 = 106938505411 is a prime.

It is a super-2 number, since 2×1069385054432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106938505392 and 106938505401.

It is not an unprimeable number, because it can be changed into a prime (106938505043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557288 + ... + 1624506.

It is an arithmetic number, because the mean of its divisors is an integer number (2845825920).

Almost surely, 2106938505443 is an apocalyptic number.

106938505443 is a deficient number, since it is larger than the sum of its proper divisors (75194353437).

106938505443 is a wasteful number, since it uses less digits than its factorization.

106938505443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67408.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 106938505443 in words is "one hundred six billion, nine hundred thirty-eight million, five hundred five thousand, four hundred forty-three".

Divisors: 1 3 7 11 21 33 71 77 97 213 231 291 497 679 781 1067 1491 2037 2343 3201 5467 6887 7469 16401 20661 22407 48209 67219 75757 144627 201657 227271 470533 530299 739409 1411599 1590897 2218227 4772549 5175863 6520243 14317647 15527589 19560729 33407843 45641701 52498039 71722673 100223529 136925103 157494117 215168019 367486273 462937253 502058711 1102458819 1388811759 1506176133 3240560771 5092309783 9721682313 15276929349 35646168481 106938505443