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106225105525 = 5271182167213
BaseRepresentation
bin110001011101110000…
…0100111101001110101
3101011012000021110122121
41202323200213221311
53220022111334100
6120444340355541
710450233333130
oct1427340475165
9334160243577
10106225105525
1141060337010
12187066a5bb1
13a02b412a36
1451d9b09217
152b6a9da51a
hex18bb827a75

106225105525 has 48 divisors (see below), whose sum is σ = 164423726208. Its totient is φ = 66136608000.

The previous prime is 106225105507. The next prime is 106225105561. The reversal of 106225105525 is 525501522601.

It is a de Polignac number, because none of the positive numbers 2k-106225105525 is a prime.

It is a super-2 number, since 2×1062251055252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546819 + ... + 1614031.

It is an arithmetic number, because the mean of its divisors is an integer number (3425494296).

Almost surely, 2106225105525 is an apocalyptic number.

It is an amenable number.

106225105525 is a deficient number, since it is larger than the sum of its proper divisors (58198620683).

106225105525 is a wasteful number, since it uses less digits than its factorization.

106225105525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68062 (or 68057 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 106225105525 in words is "one hundred six billion, two hundred twenty-five million, one hundred five thousand, five hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 821 1925 4105 5747 9031 20525 28735 45155 63217 67213 143675 225775 316085 336065 470491 739343 1580425 1680325 2352455 3696715 5175401 11762275 18483575 25877005 55181873 129385025 275909365 386273111 607000603 1379546825 1931365555 3035003015 4249004221 9656827775 15175015075 21245021105 106225105525