Search a number
-
+
105061665656505 = 3556916677384229
BaseRepresentation
bin10111111000110110010011…
…010000101100111010111001
3111202222210112010020120121210
4113320312103100230322321
5102232312242402002010
61011240355104153333
731062312005265465
oct2770662320547271
9452883463216553
10105061665656505
1130526447347118
12b9497a3308849
134681370a7a94c
141bd30243534a5
15c22d65ab1b20
hex5f8d9342ceb9

105061665656505 has 32 divisors (see below), whose sum is σ = 168495132355200. Its totient is φ = 55900850765312.

The previous prime is 105061665656503. The next prime is 105061665656527. The reversal of 105061665656505 is 505656566160501.

It is a cyclic number.

It is not a de Polignac number, because 105061665656505 - 21 = 105061665656503 is a prime.

It is a super-2 number, since 2×1050616656565052 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105061665656503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10535731 + ... + 17919959.

It is an arithmetic number, because the mean of its divisors is an integer number (5265472886100).

Almost surely, 2105061665656505 is an apocalyptic number.

105061665656505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105061665656505 is a deficient number, since it is larger than the sum of its proper divisors (63433466698695).

105061665656505 is a wasteful number, since it uses less digits than its factorization.

105061665656505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386473.

The product of its (nonzero) digits is 24300000, while the sum is 57.

The spelling of 105061665656505 in words is "one hundred five trillion, sixty-one billion, six hundred sixty-five million, six hundred fifty-six thousand, five hundred five".

Divisors: 1 3 5 15 569 1667 1707 2845 5001 8335 8535 25005 948523 2845569 4742615 7384229 14227845 22152687 36921145 110763435 4201626301 12309509743 12604878903 21008131505 36928529229 61547548715 63024394515 184642646145 7004111043767 21012333131301 35020555218835 105061665656505