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106738631 = 1771191463
BaseRepresentation
bin1100101110010…
…11001111000111
321102211212212122
412113023033013
5204311114011
614331440155
72434156226
oct627131707
9242755778
10106738631
115528434a
122b8b605b
1319162a6c
1410266cbd
1595863db
hex65cb3c7

106738631 has 16 divisors (see below), whose sum is σ = 115458048. Its totient is φ = 98313600.

The previous prime is 106738627. The next prime is 106738649. The reversal of 106738631 is 136837601.

It is a cyclic number.

It is not a de Polignac number, because 106738631 - 22 = 106738627 is a prime.

It is a super-2 number, since 2×1067386312 = 22786270695508322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106738591 and 106738600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106738031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230306 + ... + 230768.

It is an arithmetic number, because the mean of its divisors is an integer number (7216128).

Almost surely, 2106738631 is an apocalyptic number.

106738631 is a deficient number, since it is larger than the sum of its proper divisors (8719417).

106738631 is a wasteful number, since it uses less digits than its factorization.

106738631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 106738631 is about 10331.4389607644. The cubic root of 106738631 is about 474.3590705622.

The spelling of 106738631 in words is "one hundred six million, seven hundred thirty-eight thousand, six hundred thirty-one".

Divisors: 1 17 71 191 463 1207 3247 7871 13561 32873 88433 230537 558841 1503361 6278743 106738631