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105381124471325 = 52193743113912021
BaseRepresentation
bin10111111101011111110100…
…011111010111101000011101
3111211010100002202100211010002
4113331133310133113220131
5102303031020331040300
61012043230435224045
731124351334355523
oct2775376437275035
9454110082324102
10105381124471325
113063997a535a5a
12b99b699448025
1346a552210bc61
141c0468b944313
15c2b31173a5d5
hex5fd7f47d7a1d

105381124471325 has 48 divisors (see below), whose sum is σ = 141595446954240. Its totient is φ = 77528905056000.

The previous prime is 105381124471291. The next prime is 105381124471331. The reversal of 105381124471325 is 523174421183501.

It is not a de Polignac number, because 105381124471325 - 26 = 105381124471261 is a prime.

It is a super-2 number, since 2×1053811244713252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105381124471325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618815 + ... + 14530835.

It is an arithmetic number, because the mean of its divisors is an integer number (2949905144880).

Almost surely, 2105381124471325 is an apocalyptic number.

It is an amenable number.

105381124471325 is a deficient number, since it is larger than the sum of its proper divisors (36214322482915).

105381124471325 is a wasteful number, since it uses less digits than its factorization.

105381124471325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13912518 (or 13912513 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 105381124471325 in words is "one hundred five trillion, three hundred eighty-one billion, one hundred twenty-four million, four hundred seventy-one thousand, three hundred twenty-five".

Divisors: 1 5 19 25 37 95 185 431 475 703 925 2155 3515 8189 10775 15947 17575 40945 79735 204725 302993 398675 1514965 7574825 13912021 69560105 264328399 347800525 514744777 1321641995 2573723885 5996081051 6608209975 9780150763 12868619425 29980405255 48900753815 113925539969 149902026275 221854998887 244503769075 569627699845 1109274994435 2848138499225 4215244978853 5546374972175 21076224894265 105381124471325