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106593916 = 221113331563
BaseRepresentation
bin1100101101001…
…11111001111100
321102120112100211
412112213321330
5204242001131
614324402204
72433014302
oct626477174
9242515324
10106593916
1155195650
122b846364
1319111c30
141022a272
1595585b1
hex65a7e7c

106593916 has 48 divisors (see below), whose sum is σ = 220203648. Its totient is φ = 44510400.

The previous prime is 106593913. The next prime is 106593919. The reversal of 106593916 is 619395601.

It is an interprime number because it is at equal distance from previous prime (106593913) and next prime (106593919).

It is a super-2 number, since 2×1065939162 = 22724525856430112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106593911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189051 + ... + 189613.

It is an arithmetic number, because the mean of its divisors is an integer number (4587576).

Almost surely, 2106593916 is an apocalyptic number.

It is an amenable number.

106593916 is an abundant number, since it is smaller than the sum of its proper divisors (113609732).

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

106593916 is a wasteful number, since it uses less digits than its factorization.

106593916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 106593916 is about 10324.4329626377. The cubic root of 106593916 is about 474.1445967608.

The spelling of 106593916 in words is "one hundred six million, five hundred ninety-three thousand, nine hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 331 563 572 662 1126 1324 2252 3641 4303 6193 7282 7319 8606 12386 14564 14638 17212 24772 29276 47333 80509 94666 161018 186353 189332 322036 372706 745412 2049883 2422589 4099766 4845178 8199532 9690356 26648479 53296958 106593916