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106710721700 = 225211591644233
BaseRepresentation
bin110001101100001110…
…1000110010010100100
3101012102212001022210212
41203120131012102210
53222020421043300
6121004445034552
710465251111542
oct1433035062244
9335385038725
10106710721700
114128a4696a0
1218821255a58
13a0a7bcca9b
1452443d8d92
152b98461935
hex18d87464a4

106710721700 has 72 divisors (see below), whose sum is σ = 256895120160. Its totient is φ = 38146182400.

The previous prime is 106710721651. The next prime is 106710721703. The reversal of 106710721700 is 7127017601.

It is a happy number.

It is a super-2 number, since 2×1067107217002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106710721703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757217 + ... + 887016.

It is an arithmetic number, because the mean of its divisors is an integer number (3567987780).

Almost surely, 2106710721700 is an apocalyptic number.

106710721700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106710721700 is an abundant number, since it is smaller than the sum of its proper divisors (150184398460).

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

106710721700 is a wasteful number, since it uses less digits than its factorization.

106710721700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644317 (or 1644310 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 106710721700 in words is "one hundred six billion, seven hundred ten million, seven hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 64900 1644233 3288466 6576932 8221165 16442330 18086563 32884660 36173126 41105825 72346252 82211650 90432815 97009747 164423300 180865630 194019494 361731260 388038988 452164075 485048735 904328150 970097470 1067107217 1808656300 1940194940 2134214434 2425243675 4268428868 4850487350 5335536085 9700974700 10671072170 21342144340 26677680425 53355360850 106710721700