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106115604 = 22373140751
BaseRepresentation
bin1100101001100…
…11001000010100
321101200020020120
412110303020110
5204131144404
614310231540
72425652640
oct624631024
9241606216
10106115604
1154999251
122b6555b0
1318ca52ca
1410143c20
1594b19d9
hex6533214

106115604 has 48 divisors (see below), whose sum is σ = 292110336. Its totient is φ = 29340000.

The previous prime is 106115591. The next prime is 106115651. The reversal of 106115604 is 406511601.

It is a super-2 number, since 2×1061156042 = 22521042824569632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17772 + ... + 22979.

It is an arithmetic number, because the mean of its divisors is an integer number (6085632).

Almost surely, 2106115604 is an apocalyptic number.

106115604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106115604 is an abundant number, since it is smaller than the sum of its proper divisors (185994732).

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

106115604 is a wasteful number, since it uses less digits than its factorization.

106115604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40796 (or 40794 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106115604 is about 10301.2428376386. The cubic root of 106115604 is about 473.4343338437.

The spelling of 106115604 in words is "one hundred six million, one hundred fifteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 40751 81502 122253 163004 244506 285257 489012 570514 855771 1141028 1263281 1711542 2526562 3423084 3789843 5053124 7579686 8842967 15159372 17685934 26528901 35371868 53057802 106115604