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106703736700 = 225211234217539
BaseRepresentation
bin110001101100000001…
…0011100111101111100
3101012102100220110012011
41203120002130331330
53222012124033300
6121004035221004
710465134540241
oct1433002347574
9335370813164
10106703736700
1141286528770
121881aa47764
13a0a6625652
1452434db5c8
152b97a31eba
hex18d809cf7c

106703736700 has 72 divisors (see below), whose sum is σ = 263579379840. Its totient is φ = 37114334400.

The previous prime is 106703736593. The next prime is 106703736751. The reversal of 106703736700 is 7637307601.

It is a super-2 number, since 2×1067037367002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2083470 + ... + 2134069.

It is an arithmetic number, because the mean of its divisors is an integer number (3660824720).

Almost surely, 2106703736700 is an apocalyptic number.

106703736700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106703736700 is an abundant number, since it is smaller than the sum of its proper divisors (156875643140).

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

106703736700 is a wasteful number, since it uses less digits than its factorization.

106703736700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217587 (or 4217580 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 40.

The spelling of 106703736700 in words is "one hundred six billion, seven hundred three million, seven hundred thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 4217539 8435078 16870156 21087695 42175390 46392929 84350780 92785858 97003397 105438475 185571716 194006794 210876950 231964645 388013588 421753900 463929290 485016985 927858580 970033970 1067037367 1159823225 1940067940 2134074734 2319646450 2425084925 4268149468 4639292900 4850169850 5335186835 9700339700 10670373670 21340747340 26675934175 53351868350 106703736700