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106708385200 = 24521914040577
BaseRepresentation
bin110001101100001010…
…0001011110110110000
3101012102200122121201211
41203120110023312300
53222014321311300
6121004323005504
710465222210564
oct1433024136660
9335380577654
10106708385200
11412891131aa
1218820509894
13a0a7592441
145243d8b6a4
152b9814e4ba
hex18d850bdb0

106708385200 has 60 divisors (see below), whose sum is σ = 269859909160. Its totient is φ = 40436858880.

The previous prime is 106708385197. The next prime is 106708385249. The reversal of 106708385200 is 2583807601.

It is a super-2 number, since 2×1067083852002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 7012689 + ... + 7027888.

Almost surely, 2106708385200 is an apocalyptic number.

106708385200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106708385200 is an abundant number, since it is smaller than the sum of its proper divisors (163151523960).

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

106708385200 is a wasteful number, since it uses less digits than its factorization.

106708385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040614 (or 14040603 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 106708385200 in words is "one hundred six billion, seven hundred eight million, three hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 14040577 28081154 56162308 70202885 112324616 140405770 224649232 266770963 280811540 351014425 533541926 561623080 702028850 1067083852 1123246160 1333854815 1404057700 2134167704 2667709630 2808115400 4268335408 5335419260 5616230800 6669274075 10670838520 13338548150 21341677040 26677096300 53354192600 106708385200