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106971514225 = 52654132
BaseRepresentation
bin110001110011111111…
…1111100010101110001
3101020010000202221220021
41203213333330111301
53223034201423400
6121050402443441
710504565603602
oct1434777742561
9336100687807
10106971514225
11414036a3a04
1218894663581
13a119c509a4
14526acc3da9
152bb12c871a
hex18e7ffc571

106971514225 has 9 divisors (see below), whose sum is σ = 132646705473. Its totient is φ = 85575903120.

The previous prime is 106971514207. The next prime is 106971514249. The reversal of 106971514225 is 522415179601.

The square root of 106971514225 is 327065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15897931569 + 91073582656 = 126087^2 + 301784^2 .

It is not a de Polignac number, because 106971514225 - 25 = 106971514193 is a prime.

It is a super-2 number, since 2×1069715142252 (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, 1602619 + ... + 1668031.

Almost surely, 2106971514225 is an apocalyptic number.

106971514225 is the 327065-th square number.

106971514225 is the 163533-rd centered octagonal number.

It is an amenable number.

106971514225 is a deficient number, since it is larger than the sum of its proper divisors (25675191248).

106971514225 is an frugal number, since it uses more digits than its factorization.

106971514225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130836 (or 65418 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 106971514225 in words is "one hundred six billion, nine hundred seventy-one million, five hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 65413 327065 1635325 4278860569 21394302845 106971514225