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107623633 = 1325732213
BaseRepresentation
bin1100110101000…
…11010011010001
321111111211212111
412122203103101
5210022424013
614402425321
72444533345
oct632432321
9244454774
10107623633
1155829257
1230062241
13193b2830
1410417625
1596ad73d
hex66a34d1

107623633 has 8 divisors (see below), whose sum is σ = 116356968. Its totient is φ = 98955264.

The previous prime is 107623631. The next prime is 107623667. The reversal of 107623633 is 336326701.

It can be written as a sum of positive squares in 4 ways, for example, as 54508689 + 53114944 = 7383^2 + 7288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107623633 - 21 = 107623631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107623595 and 107623604.

It is not an unprimeable number, because it can be changed into a prime (107623631) 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 7 ways as a sum of consecutive naturals, for example, 12766 + ... + 19447.

It is an arithmetic number, because the mean of its divisors is an integer number (14544621).

Almost surely, 2107623633 is an apocalyptic number.

107623633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107623633 is a deficient number, since it is larger than the sum of its proper divisors (8733335).

107623633 is a wasteful number, since it uses less digits than its factorization.

107623633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32483.

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 107623633 is about 10374.1810761139. The cubic root of 107623633 is about 475.6664815841. Note that the first 3 decimals are identical.

The spelling of 107623633 in words is "one hundred seven million, six hundred twenty-three thousand, six hundred thirty-three".

Divisors: 1 13 257 3341 32213 418769 8278741 107623633