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106826031 = 32133129453
BaseRepresentation
bin1100101111000…
…00100100101111
321110000022202200
412113200210233
5204321413111
614333352543
72435002104
oct627404457
9243008680
10106826031
1155333a84
122b938753
1319193790
141028aaab
1595a2256
hex65e092f

106826031 has 24 divisors (see below), whose sum is σ = 171540096. Its totient is φ = 63616320.

The previous prime is 106826029. The next prime is 106826039. The reversal of 106826031 is 130628601.

It is not a de Polignac number, because 106826031 - 21 = 106826029 is a prime.

It is a super-2 number, since 2×1068260312 = 22823601798425922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106825986 and 106826004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106826039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11100 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (7147504).

Almost surely, 2106826031 is an apocalyptic number.

106826031 is a deficient number, since it is larger than the sum of its proper divisors (64714065).

106826031 is a wasteful number, since it uses less digits than its factorization.

106826031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29503 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106826031 is about 10335.6679029466. The cubic root of 106826031 is about 474.4885072109.

The spelling of 106826031 in words is "one hundred six million, eight hundred twenty-six thousand, thirty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 29453 88359 265077 382889 913043 1148667 2739129 3446001 8217387 11869559 35608677 106826031