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106093940 = 225172313567
BaseRepresentation
bin1100101001011…
…01110101110100
321101122010112012
412110231311310
5204130001230
614305543352
72425532531
oct624556564
9241563465
10106093940
1154983a47
122b644b58
1318c984a4
1410139d88
1594aa395
hex652dd74

106093940 has 48 divisors (see below), whose sum is σ = 246177792. Its totient is φ = 38201856.

The previous prime is 106093927. The next prime is 106093973. The reversal of 106093940 is 49390601.

It is a super-2 number, since 2×1060939402 = 22511848209447200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106093897 and 106093906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (5128704).

Almost surely, 2106093940 is an apocalyptic number.

106093940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106093940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123088896).

106093940 is an abundant number, since it is smaller than the sum of its proper divisors (140083852).

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

106093940 is a wasteful number, since it uses less digits than its factorization.

106093940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 106093940 is about 10300.1912603602. The cubic root of 106093940 is about 473.4021137018.

The spelling of 106093940 in words is "one hundred six million, ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 13567 27134 54268 67835 135670 230639 271340 312041 461278 624082 922556 1153195 1248164 1560205 2306390 3120410 4612780 5304697 6240820 10609394 21218788 26523485 53046970 106093940