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105922117848 = 23312734751351
BaseRepresentation
bin110001010100101110…
…0110100000011011000
3101010101220011002200210
41202221130310003120
53213412030232343
6120354314331120
710436564101131
oct1425134640330
9333356132623
10105922117848
1140a15301978
1218641129aa0
139cb070a0a1
1451ab798c88
152b4e0db333
hex18a97340d8

105922117848 has 32 divisors (see below), whose sum is σ = 266890383360. Its totient is φ = 35029360800.

The previous prime is 105922117843. The next prime is 105922117859. The reversal of 105922117848 is 848711229501.

It is a happy number.

It is a super-2 number, since 2×1059221178482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105922117797 and 105922117806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105922117843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17372628 + ... + 17378723.

It is an arithmetic number, because the mean of its divisors is an integer number (8340324480).

Almost surely, 2105922117848 is an apocalyptic number.

It is an amenable number.

105922117848 is an abundant number, since it is smaller than the sum of its proper divisors (160968265512).

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

105922117848 is a wasteful number, since it uses less digits than its factorization.

105922117848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34751487 (or 34751483 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 105922117848 in words is "one hundred five billion, nine hundred twenty-two million, one hundred seventeen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 34751351 69502702 104254053 139005404 208508106 278010808 417016212 834032424 4413421577 8826843154 13240264731 17653686308 26480529462 35307372616 52961058924 105922117848