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106420062520 = 23523711629211
BaseRepresentation
bin110001100011100100…
…0010100100100111000
3101011200121010022101001
41203013020110210320
53220422014000040
6120515543134344
710455121414642
oct1430710244470
9334617108331
10106420062520
11411503950a2
121875ba443b4
13a05c9227c5
145217977892
152b7cb9a59a
hex18c7214938

106420062520 has 64 divisors (see below), whose sum is σ = 253375050240. Its totient is φ = 40143734400.

The previous prime is 106420062517. The next prime is 106420062527. The reversal of 106420062520 is 25260024601.

It is a super-2 number, since 2×1064200625202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106420062527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749286 + ... + 879925.

It is an arithmetic number, because the mean of its divisors is an integer number (3958985160).

Almost surely, 2106420062520 is an apocalyptic number.

106420062520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106420062520 is an abundant number, since it is smaller than the sum of its proper divisors (146954987720).

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

106420062520 is a wasteful number, since it uses less digits than its factorization.

106420062520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629316 (or 1629312 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 106420062520 in words is "one hundred six billion, four hundred twenty million, sixty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2840 3266 6532 8165 13064 16330 32660 65320 1629211 3258422 6516844 8146055 13033688 16292110 32584220 37471853 65168440 74943706 115673981 149887412 187359265 231347962 299774824 374718530 462695924 578369905 749437060 925391848 1156739810 1498874120 2313479620 2660501563 4626959240 5321003126 10642006252 13302507815 21284012504 26605015630 53210031260 106420062520