Search a number
-
+
106160365660 = 22513744986291
BaseRepresentation
bin110001011011110100…
…1101010000001011100
3101011000111110100020211
41202313221222001130
53214404023200120
6120434105022204
710445516135146
oct1426751520134
9334014410224
10106160365660
1141027838a98
12186a8a84964
13a01ab9651b
1451d1295c96
152b64e9d25a
hex18b7a6a05c

106160365660 has 48 divisors (see below), whose sum is σ = 225066794400. Its totient is φ = 42059816960.

The previous prime is 106160365603. The next prime is 106160365667. The reversal of 106160365660 is 66563061601.

It is a super-2 number, since 2×1061603656602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106160365667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187115 + ... + 1273405.

It is an arithmetic number, because the mean of its divisors is an integer number (4688891550).

Almost surely, 2106160365660 is an apocalyptic number.

106160365660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106160365660 is an abundant number, since it is smaller than the sum of its proper divisors (118906428740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106160365660 is a wasteful number, since it uses less digits than its factorization.

106160365660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86886 (or 86884 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 106160365660 in words is "one hundred six billion, one hundred sixty million, three hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 137 274 449 548 685 898 1370 1796 2245 2740 4490 8980 61513 86291 123026 172582 246052 307565 345164 431455 615130 862910 1230260 1725820 11821867 23643734 38744659 47287468 59109335 77489318 118218670 154978636 193723295 236437340 387446590 774893180 5308018283 10616036566 21232073132 26540091415 53080182830 106160365660