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106830504 = 233211134887
BaseRepresentation
bin1100101111000…
…01101010101000
321110000112220100
412113201222220
5204322034004
614333425400
72435021124
oct627415250
9243015810
10106830504
1155337380
122b93b260
1319195821
141028c584
1595a3739
hex65e1aa8

106830504 has 48 divisors (see below), whose sum is σ = 315637920. Its totient is φ = 32372640.

The previous prime is 106830491. The next prime is 106830509. The reversal of 106830504 is 405038601.

It is a super-2 number, since 2×1068305042 = 22825513169788032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106830509) 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 11 ways as a sum of consecutive naturals, for example, 66652 + ... + 68235.

It is an arithmetic number, because the mean of its divisors is an integer number (6575790).

Almost surely, 2106830504 is an apocalyptic number.

It is an amenable number.

106830504 is an abundant number, since it is smaller than the sum of its proper divisors (208807416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106830504 is a wasteful number, since it uses less digits than its factorization.

106830504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134910 (or 134903 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106830504 is about 10335.8842872780. The cubic root of 106830504 is about 474.4951296837.

The spelling of 106830504 in words is "one hundred six million, eight hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 134887 269774 404661 539548 809322 1079096 1213983 1483757 1618644 2427966 2967514 3237288 4451271 4855932 5935028 8902542 9711864 11870056 13353813 17805084 26707626 35610168 53415252 106830504