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106863681 = 3233314679
BaseRepresentation
bin1100101111010…
…01110001000001
321110002020102010
412113221301001
5204324114211
614334243133
72435216631
oct627516101
9243066363
10106863681
115535a2a1
122b9564a9
13191a7962
141029a6c1
1595ad4a6
hex65e9c41

106863681 has 16 divisors (see below), whose sum is σ = 149160960. Its totient is φ = 67924560.

The previous prime is 106863661. The next prime is 106863697. The reversal of 106863681 is 186368601.

It is not a de Polignac number, because 106863681 - 211 = 106861633 is a prime.

It is a super-2 number, since 2×1068636812 = 22839692633739522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106863661) 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 15 ways as a sum of consecutive naturals, for example, 20500 + ... + 25178.

It is an arithmetic number, because the mean of its divisors is an integer number (9322560).

Almost surely, 2106863681 is an apocalyptic number.

It is an amenable number.

106863681 is a deficient number, since it is larger than the sum of its proper divisors (42297279).

106863681 is a wasteful number, since it uses less digits than its factorization.

106863681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106863681 is about 10337.4891051938. The cubic root of 106863681 is about 474.5442439192.

The spelling of 106863681 in words is "one hundred six million, eight hundred sixty-three thousand, six hundred eighty-one".

Divisors: 1 3 23 69 331 993 4679 7613 14037 22839 107617 322851 1548749 4646247 35621227 106863681