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106605625 = 5472592
BaseRepresentation
bin1100101101010…
…10110000111001
321102121010102111
412112222300321
5204242340000
614324532321
72433063400
oct626526071
9242533374
10106605625
11551a3425
122b8510a1
1319117369
1410230637
15955bcba
hex65aac39

106605625 has 45 divisors (see below), whose sum is σ = 157634697. Its totient is φ = 71862000.

The previous prime is 106605607. The next prime is 106605641. The reversal of 106605625 is 526506601.

The square root of 106605625 is 10325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8357881 + 98247744 = 2891^2 + 9912^2 .

It is not a de Polignac number, because 106605625 - 25 = 106605593 is a prime.

It is a super-2 number, since 2×1066056252 = 22729518563281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1806846 + ... + 1806904.

Almost surely, 2106605625 is an apocalyptic number.

106605625 is the 10325-th square number.

106605625 is the 5163-rd centered octagonal number.

It is an amenable number.

106605625 is a deficient number, since it is larger than the sum of its proper divisors (51029072).

106605625 is an frugal number, since it uses more digits than its factorization.

106605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The cubic root of 106605625 is about 474.1619572132.

The spelling of 106605625 in words is "one hundred six million, six hundred five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 125 175 245 295 413 625 875 1225 1475 2065 2891 3481 4375 6125 7375 10325 14455 17405 24367 30625 36875 51625 72275 87025 121835 170569 258125 361375 435125 609175 852845 1806875 2175625 3045875 4264225 15229375 21321125 106605625