Search a number
-
+
106551010525 = 5253140957073
BaseRepresentation
bin110001100111011101…
…1110110010011011101
3101012000201112011021011
41203032323312103131
53221204024314100
6120540541535221
710461301434361
oct1431673662335
9335021464234
10106551010525
11412082a4293
1218797874511
13a080ab092b
14522b1032a1
152b89414bba
hex18ceef64dd

106551010525 has 24 divisors (see below), whose sum is σ = 134714045160. Its totient is φ = 83571671040.

The previous prime is 106551010493. The next prime is 106551010541. The reversal of 106551010525 is 525010155601.

It can be written as a sum of positive squares in 12 ways, for example, as 34425462681 + 72125547844 = 185541^2 + 268562^2 .

It is not a de Polignac number, because 106551010525 - 25 = 106551010493 is a prime.

It is a super-2 number, since 2×1065510105252 (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838389 + ... + 1895461.

It is an arithmetic number, because the mean of its divisors is an integer number (5613085215).

Almost surely, 2106551010525 is an apocalyptic number.

It is an amenable number.

106551010525 is a deficient number, since it is larger than the sum of its proper divisors (28163034635).

106551010525 is a wasteful number, since it uses less digits than its factorization.

106551010525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58545 (or 58540 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 106551010525 in words is "one hundred six billion, five hundred fifty-one million, ten thousand, five hundred twenty-five".

Divisors: 1 5 25 53 265 1325 1409 7045 35225 57073 74677 285365 373385 1426825 1866925 3024869 15124345 75621725 80415857 402079285 2010396425 4262040421 21310202105 106551010525