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106561044225 = 32521291366851
BaseRepresentation
bin110001100111110001…
…0000111111100000001
3101012001102101220220200
41203033202013330001
53221214111403400
6120541540555413
710461452634216
oct1431742077401
9335042356820
10106561044225
1141212a277a9
121879b0b2b69
13a082bb492c
14522c595b0d
152b8a247b00
hex18cf887f01

106561044225 has 36 divisors (see below), whose sum is σ = 191011031952. Its totient is φ = 56788380000.

The previous prime is 106561044221. The next prime is 106561044229. The reversal of 106561044225 is 522440165601.

106561044225 is a `hidden beast` number, since 10 + 6 + 5 + 610 + 4 + 4 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (106561044221) and next prime (106561044229).

It is not a de Polignac number, because 106561044225 - 22 = 106561044221 is a prime.

It is a super-2 number, since 2×1065610442252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106561044225.

It is not an unprimeable number, because it can be changed into a prime (106561044221) 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, 107050 + ... + 473900.

Almost surely, 2106561044225 is an apocalyptic number.

106561044225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106561044225 is a deficient number, since it is larger than the sum of its proper divisors (84449987727).

106561044225 is a wasteful number, since it uses less digits than its factorization.

106561044225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368158 (or 368150 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 106561044225 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1291 3873 6455 11619 19365 32275 58095 96825 290475 366851 1100553 1834255 3301659 5502765 9171275 16508295 27513825 82541475 473604641 1420813923 2368023205 4262441769 7104069615 11840116025 21312208845 35520348075 106561044225