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106464664104 = 23379145138699
BaseRepresentation
bin110001100100111001…
…0011101101000101000
3101011210201001022020120
41203021302131220220
53221014423222404
6120524215123240
710456202466501
oct1431162355050
9334721038216
10106464664104
1141173588a07
1218772973520
13a068c3a986
14521d867ba8
152b81a5a9d9
hex18c9c9da28

106464664104 has 64 divisors (see below), whose sum is σ = 269723520000. Its totient is φ = 35013950400.

The previous prime is 106464664073. The next prime is 106464664123. The reversal of 106464664104 is 401466464601.

It is a super-2 number, since 2×1064646641042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731747 + ... + 2770445.

It is an arithmetic number, because the mean of its divisors is an integer number (4214430000).

Almost surely, 2106464664104 is an apocalyptic number.

It is an amenable number.

106464664104 is an abundant number, since it is smaller than the sum of its proper divisors (163258855896).

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

106464664104 is a wasteful number, since it uses less digits than its factorization.

106464664104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40238 (or 40234 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 106464664104 in words is "one hundred six billion, four hundred sixty-four million, six hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1451 1896 2902 4353 5804 8706 11608 17412 34824 38699 77398 114629 116097 154796 229258 232194 309592 343887 458516 464388 687774 917032 928776 1375548 2751096 3057221 6114442 9171663 12228884 18343326 24457768 36686652 56152249 73373304 112304498 168456747 224608996 336913494 449217992 673826988 1347653976 4436027671 8872055342 13308083013 17744110684 26616166026 35488221368 53232332052 106464664104