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106066124000 = 255337716663
BaseRepresentation
bin110001011001000001…
…0001001110011100000
3101010202221010100222222
41202302002021303200
53214210411432000
6120420501050212
710443263115134
oct1426202116340
9333687110888
10106066124000
1140a8961a921
12186813b6968
13a0044baa25
1451c29633c4
152b5ba84a85
hex18b2089ce0

106066124000 has 96 divisors (see below), whose sum is σ = 267648204096. Its totient is φ = 41279731200.

The previous prime is 106066123991. The next prime is 106066124029. The reversal of 106066124000 is 421660601.

It is a happy number.

It is a super-2 number, since 2×1060661240002 (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 15 ways as a sum of consecutive naturals, for example, 210332 + ... + 506331.

It is an arithmetic number, because the mean of its divisors is an integer number (2788002126).

Almost surely, 2106066124000 is an apocalyptic number.

106066124000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106066124000 is an abundant number, since it is smaller than the sum of its proper divisors (161582080096).

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

106066124000 is an equidigital number, since it uses as much as digits as its factorization.

106066124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716725 (or 716707 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 106066124000 its reverse (421660601), we get a palindrome (106487784601).

The spelling of 106066124000 in words is "one hundred six billion, sixty-six million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 716663 1433326 2866652 3583315 5733304 7166630 11466608 14333260 17916575 22933216 26516531 28666520 35833150 53033062 57333040 71666300 89582875 106066124 114666080 132582655 143332600 179165750 212132248 265165310 286665200 358331500 424264496 530330620 573330400 662913275 716663000 848528992 1060661240 1325826550 1433326000 2121322480 2651653100 2866652000 3314566375 4242644960 5303306200 6629132750 10606612400 13258265500 21213224800 26516531000 53033062000 106066124000