Search a number
-
+
106015602 = 23711223907
BaseRepresentation
bin1100101000110…
…10101101110010
321101111011001210
412110122231302
5204114444402
614304140550
72425055250
oct624325562
9241434053
10106015602
1154930100
122b607756
1318c6b934
14101195d0
15949206c
hex651ab72

106015602 has 96 divisors (see below), whose sum is σ = 278240256. Its totient is φ = 26310240.

The previous prime is 106015601. The next prime is 106015603. The reversal of 106015602 is 206510601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106015601) and next prime (106015603).

It is a super-2 number, since 2×1060156022 = 22478615734844808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106015601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116433 + ... + 117339.

It is an arithmetic number, because the mean of its divisors is an integer number (2898336).

Almost surely, 2106015602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106015602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139120128).

106015602 is an abundant number, since it is smaller than the sum of its proper divisors (172224654).

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

106015602 is a wasteful number, since it uses less digits than its factorization.

106015602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106015602 is about 10296.3878132091. The cubic root of 106015602 is about 473.2855675972.

The spelling of 106015602 in words is "one hundred six million, fifteen thousand, six hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 121 138 154 161 231 242 253 322 363 462 483 506 726 759 847 907 966 1518 1694 1771 1814 2541 2721 2783 3542 5082 5313 5442 5566 6349 8349 9977 10626 12698 16698 19047 19481 19954 20861 29931 38094 38962 41722 58443 59862 62583 69839 109747 116886 125166 139678 146027 209517 219494 229471 292054 329241 419034 438081 458942 658482 688413 768229 876162 1376826 1536458 1606297 2304687 2524181 3212594 4609374 4818891 5048362 7572543 9637782 15145086 17669267 35338534 53007801 106015602