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100010060106 = 231119659121021
BaseRepresentation
bin101110100100100010…
…0000110100101001010
3100120010212120110010020
41131021010012211022
53114310033410411
6113535522401310
710140225325155
oct1351104064512
9316125513106
10100010060106
1139461087440
1217471200236
13957a922778
144baa51cc9c
152905075606
hex174910694a

100010060106 has 64 divisors (see below), whose sum is σ = 230038617600. Its totient is φ = 28667217600.

The previous prime is 100010060099. The next prime is 100010060131. The reversal of 100010060106 is 601060010001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765876 + ... + 886896.

It is an arithmetic number, because the mean of its divisors is an integer number (3594353400).

Almost surely, 2100010060106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010060106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115019308800).

100010060106 is an abundant number, since it is smaller than the sum of its proper divisors (130028557494).

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

100010060106 is a wasteful number, since it uses less digits than its factorization.

100010060106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121715.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100010060106 its reverse (601060010001), we get a palindrome (701070070107).

The spelling of 100010060106 in words is "one hundred billion, ten million, sixty thousand, one hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 659 1254 1318 1977 3954 7249 12521 14498 21747 25042 37563 43494 75126 121021 137731 242042 275462 363063 413193 726126 826386 1331231 2299399 2662462 3993693 4598798 6898197 7987386 13796394 25293389 50586778 75880167 79752839 151760334 159505678 239258517 478517034 877281229 1515303941 1754562458 2631843687 3030607882 4545911823 5263687374 9091823646 16668343351 33336686702 50005030053 100010060106