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106101640060 = 22513563724837
BaseRepresentation
bin110001011010000100…
…1101000101101111100
3101010212101221202212121
41202310021220231330
53214244004440220
6120424210212324
710444204026403
oct1426411505574
9333771852777
10106101640060
1140aa7678639
12186912840a4
13a00b974650
1451c756a63a
152b5ec4ceaa
hex18b4268b7c

106101640060 has 48 divisors (see below), whose sum is σ = 240379475616. Its totient is φ = 39106351872.

The previous prime is 106101640049. The next prime is 106101640111. The reversal of 106101640060 is 60046101601.

It is a super-3 number, since 3×1061016400603 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216039 + ... + 508798.

It is an arithmetic number, because the mean of its divisors is an integer number (5007905742).

Almost surely, 2106101640060 is an apocalyptic number.

106101640060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106101640060 is an abundant number, since it is smaller than the sum of its proper divisors (134277835556).

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

106101640060 is a wasteful number, since it uses less digits than its factorization.

106101640060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725422 (or 725420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 106101640060 its reverse (60046101601), we get a palindrome (166147741661).

The spelling of 106101640060 in words is "one hundred six billion, one hundred one million, six hundred forty thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 563 1126 2252 2815 5630 7319 11260 14638 29276 36595 73190 146380 724837 1449674 2899348 3624185 7248370 9422881 14496740 18845762 37691524 47114405 94228810 188457620 408083231 816166462 1632332924 2040416155 4080832310 5305082003 8161664620 10610164006 21220328012 26525410015 53050820030 106101640060