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106307838 = 23271364901
BaseRepresentation
bin1100101011000…
…10000011111110
321102000222221100
412111202003332
5204203322323
614314313530
72430413250
oct625420376
9242028840
10106307838
115500a71a
122b7288a6
1319041960
1410193cd0
1594ed943
hex65620fe

106307838 has 48 divisors (see below), whose sum is σ = 283491936. Its totient is φ = 28036800.

The previous prime is 106307827. The next prime is 106307857. The reversal of 106307838 is 838703601.

106307838 is a `hidden beast` number, since 10 + 630 + 7 + 8 + 3 + 8 = 666.

It is a super-2 number, since 2×1063078382 = 22602712840468488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30813 + ... + 34088.

It is an arithmetic number, because the mean of its divisors is an integer number (5906082).

Almost surely, 2106307838 is an apocalyptic number.

106307838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106307838 is an abundant number, since it is smaller than the sum of its proper divisors (177184098).

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

106307838 is a wasteful number, since it uses less digits than its factorization.

106307838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64929 (or 64926 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106307838 is about 10310.5692374379. The cubic root of 106307838 is about 473.7200451214.

The spelling of 106307838 in words is "one hundred six million, three hundred seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 64901 129802 194703 389406 454307 584109 843713 908614 1168218 1362921 1687426 2531139 2725842 4088763 5062278 5905991 7593417 8177526 11811982 15186834 17717973 35435946 53153919 106307838