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105235513208 = 2372381704591
BaseRepresentation
bin110001000000010000…
…1100111111101111000
3101001122001011222012022
41202000201213331320
53211010242410313
6120202230134012
710413556050260
oct1420041477570
9331561158168
10105235513208
11406a2781721
121848b1b1308
139c013aab57
14514450a7a0
152b0dbb2c08
hex1880867f78

105235513208 has 32 divisors (see below), whose sum is σ = 235309224960. Its totient is φ = 43140023520.

The previous prime is 105235513193. The next prime is 105235513247. The reversal of 105235513208 is 802315532501.

It is a happy number.

105235513208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052355132082 (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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40851008 + ... + 40853583.

It is an arithmetic number, because the mean of its divisors is an integer number (7353413280).

Almost surely, 2105235513208 is an apocalyptic number.

It is an amenable number.

105235513208 is an abundant number, since it is smaller than the sum of its proper divisors (130073711752).

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

105235513208 is a wasteful number, since it uses less digits than its factorization.

105235513208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81704627 (or 81704623 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 105235513208 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 81704591 163409182 326818364 571932137 653636728 1143864274 1879205593 2287728548 3758411186 4575457096 7516822372 13154439151 15033644744 26308878302 52617756604 105235513208