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107669025 = 3252292569
BaseRepresentation
bin1100110101011…
…10011000100001
321111121011010200
412122232120201
5210030402100
614403415413
72445112602
oct632563041
9244534120
10107669025
115585a372
1230084569
13193ca3a9
1410429da9
1596bbe00
hex66ae621

107669025 has 54 divisors (see below), whose sum is σ = 200077410. Its totient is φ = 55345920.

The previous prime is 107669017. The next prime is 107669027. The reversal of 107669025 is 520966701.

It can be written as a sum of positive squares in 9 ways, for example, as 44036496 + 63632529 = 6636^2 + 7977^2 .

It is not a de Polignac number, because 107669025 - 23 = 107669017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107669027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 188941 + ... + 189509.

Almost surely, 2107669025 is an apocalyptic number.

107669025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107669025 is a deficient number, since it is larger than the sum of its proper divisors (92408385).

107669025 is a wasteful number, since it uses less digits than its factorization.

107669025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 107669025 is about 10376.3685844326. The cubic root of 107669025 is about 475.7333455170.

It can be divided in two parts, 10766 and 9025, that added together give a palindrome (19791).

The spelling of 107669025 in words is "one hundred seven million, six hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 569 725 841 1305 1707 2175 2523 2845 4205 5121 6525 7569 8535 12615 14225 16501 21025 25605 37845 42675 49503 63075 82505 128025 148509 189225 247515 412525 478529 742545 1237575 1435587 2392645 3712725 4306761 7177935 11963225 21533805 35889675 107669025