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106241642303145 = 35294347120847927
BaseRepresentation
bin11000001010000001001111…
…010110011000111010101001
3111221011121020201110221120020
4120022001033112120322221
5102411130340412200040
61013542423042551053
731243463636301156
oct3012011726307251
9457147221427506
10106241642303145
1130940911403498
12baba413068489
13473870bba216b
141c341a143722d
15c438c796bcd0
hex60a04f598ea9

106241642303145 has 64 divisors (see below), whose sum is σ = 183766193233920. Its totient is φ = 52299115239168.

The previous prime is 106241642303131. The next prime is 106241642303171. The reversal of 106241642303145 is 541303246142601.

It is not a de Polignac number, because 106241642303145 - 28 = 106241642302889 is a prime.

It is a super-2 number, since 2×1062416423031452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106241642303097 and 106241642303106.

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, 59544829 + ... + 61303098.

It is an arithmetic number, because the mean of its divisors is an integer number (2871346769280).

Almost surely, 2106241642303145 is an apocalyptic number.

106241642303145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106241642303145 is a deficient number, since it is larger than the sum of its proper divisors (77524550930775).

106241642303145 is a wasteful number, since it uses less digits than its factorization.

106241642303145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120848054.

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 106241642303145 its reverse (541303246142601), we get a palindrome (647544888445746).

The spelling of 106241642303145 in words is "one hundred six trillion, two hundred forty-one billion, six hundred forty-two million, three hundred three thousand, one hundred forty-five".

Divisors: 1 3 5 15 29 43 47 87 129 141 145 215 235 435 645 705 1247 1363 2021 3741 4089 6063 6235 6815 10105 18705 20445 30315 58609 175827 293045 879135 120847927 362543781 604239635 1812718905 3504589883 5196460861 5679852569 10513769649 15589382583 17039557707 17522949415 25982304305 28399262845 52568848245 77946912915 85197788535 150697364969 164715724501 244233660467 452092094907 494147173503 732700981401 753486824845 823578622505 1221168302335 2260460474535 2470735867515 3663504907005 7082776153543 21248328460629 35413880767715 106241642303145