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106677225 = 32522916349
BaseRepresentation
bin1100101101111…
…00001111101001
321102201202122100
412112330033221
5204302132400
614330244013
72433512214
oct626741751
9242652570
10106677225
11552421a6
122b886609
1319140b25
141024c77b
159573100
hex65bc3e9

106677225 has 36 divisors (see below), whose sum is σ = 197671500. Its totient is φ = 54929280.

The previous prime is 106677223. The next prime is 106677257. The reversal of 106677225 is 522776601.

It can be written as a sum of positive squares in 6 ways, for example, as 10323369 + 96353856 = 3213^2 + 9816^2 .

It is not a de Polignac number, because 106677225 - 21 = 106677223 is a prime.

It is a super-2 number, since 2×1066772252 = 22760060667401250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106677225.

It is not an unprimeable number, because it can be changed into a prime (106677223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1650 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (5490875).

Almost surely, 2106677225 is an apocalyptic number.

106677225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106677225 is a deficient number, since it is larger than the sum of its proper divisors (90994275).

106677225 is a wasteful number, since it uses less digits than its factorization.

106677225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16394 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106677225 is about 10328.4667303526. The cubic root of 106677225 is about 474.2680879429.

The spelling of 106677225 in words is "one hundred six million, six hundred seventy-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 16349 49047 81745 147141 245235 408725 474121 735705 1226175 1422363 2370605 3678525 4267089 7111815 11853025 21335445 35559075 106677225