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106220587225 = 52651832
BaseRepresentation
bin110001011101100111…
…1011000100011011001
3101011011200202220201011
41202323033120203121
53220014432242400
6120444055453521
710450150044214
oct1427317304331
9334150686634
10106220587225
1141058830385
12187050872a1
13a02a4c029c
1451d929077b
152b6a3e68ba
hex18bb3d88d9

106220587225 has 9 divisors (see below), whose sum is σ = 131715548863. Its totient is φ = 84975166120.

The previous prime is 106220587217. The next prime is 106220587243. The reversal of 106220587225 is 522785022601.

The square root of 106220587225 is 325915.

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

It can be written as a sum of positive squares in only one way, i.e., 38239411401 + 67981175824 = 195549^2 + 260732^2 .

It is not a de Polignac number, because 106220587225 - 23 = 106220587217 is a prime.

It is a super-2 number, since 2×1062205872252 (a number of 23 digits) 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 8 ways as a sum of consecutive naturals, for example, 1596984 + ... + 1662166.

Almost surely, 2106220587225 is an apocalyptic number.

106220587225 is the 325915-th square number.

106220587225 is the 162958-th centered octagonal number.

It is an amenable number.

106220587225 is a deficient number, since it is larger than the sum of its proper divisors (25494961638).

106220587225 is an frugal number, since it uses more digits than its factorization.

106220587225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130376 (or 65188 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 106220587225 in words is "one hundred six billion, two hundred twenty million, five hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 65183 325915 1629575 4248823489 21244117445 106220587225