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108237710025 = 365224372
BaseRepresentation
bin110010011001101111…
…0000110001011001001
3101100101021100101000000
41210303132012023021
53233132323210100
6121420153433213
710551142232544
oct1446336061311
9340337311000
10108237710025
11419a3402615
1218b8870b809
13a28c381283
14534b12585b
152c3753c900
hex19337862c9

108237710025 has 63 divisors (see below), whose sum is σ = 201312693381. Its totient is φ = 57703091040.

The previous prime is 108237710017. The next prime is 108237710051. The reversal of 108237710025 is 520017732801.

The square root of 108237710025 is 328995.

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 16399619721 + 91838090304 = 128061^2 + 303048^2 .

It is not a de Polignac number, because 108237710025 - 23 = 108237710017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 44413107 + ... + 44415543.

Almost surely, 2108237710025 is an apocalyptic number.

108237710025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108237710025 is the 328995-th square number.

108237710025 is the 164498-th centered octagonal number.

It is an amenable number.

108237710025 is a deficient number, since it is larger than the sum of its proper divisors (93074983356).

108237710025 is an frugal number, since it uses more digits than its factorization.

108237710025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 108237710025 by its sum of digits (36), we get a square (3896557560900 = 19739702).

The spelling of 108237710025 in words is "one hundred eight billion, two hundred thirty-seven million, seven hundred ten thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2437 3645 6075 7311 12185 18225 21933 36555 60925 65799 109665 182775 197397 328995 548325 592191 986985 1644975 1776573 2960955 4934925 5938969 8882865 14804775 17816907 29694845 44414325 53450721 89084535 148474225 160352163 267253605 445422675 481056489 801760815 1336268025 1443169467 2405282445 4008804075 4329508401 7215847335 12026412225 21647542005 36079236675 108237710025