Search a number
-
+
105263158845 = 351319178915881
BaseRepresentation
bin110001000001000101…
…1000101011000111101
3101001200222012111212210
41202002023011120331
53211034332040340
6120205054451033
710414343041635
oct1420213053075
9331628174783
10105263158845
1140707344259
1218498503a79
139c0703a310
1451480656c5
152b11324180
hex18822c563d

105263158845 has 64 divisors (see below), whose sum is σ = 191041401600. Its totient is φ = 49063864320.

The previous prime is 105263158837. The next prime is 105263158943. The reversal of 105263158845 is 548851362501.

It is not a de Polignac number, because 105263158845 - 23 = 105263158837 is a prime.

It is a super-2 number, since 2×1052631588452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105263158794 and 105263158803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6620305 + ... + 6636185.

It is an arithmetic number, because the mean of its divisors is an integer number (2985021900).

Almost surely, 2105263158845 is an apocalyptic number.

105263158845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105263158845 is a deficient number, since it is larger than the sum of its proper divisors (85778242755).

105263158845 is a wasteful number, since it uses less digits than its factorization.

105263158845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17710.

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 105263158845 in words is "one hundred five billion, two hundred sixty-three million, one hundred fifty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 1789 3705 5367 8945 15881 23257 26835 33991 47643 69771 79405 101973 116285 169955 206453 238215 301739 348855 441883 509865 619359 905217 1032265 1325649 1508695 2209415 3096795 3922607 4526085 6628245 11767821 19613035 28411109 58839105 85233327 142055545 369344417 426166635 539811071 1108033251 1619433213 1846722085 2699055355 5540166255 7017543923 8097166065 21052631769 35087719615 105263158845