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105499604 = 227103157233
BaseRepresentation
bin1100100100111…
…00101111010100
321100111221020202
412102130233110
5204001441404
614245120032
72420506010
oct622345724
9240457222
10105499604
1154608461
122b3b9018
1318b1ab02
1410023540
1593de21e
hex649cbd4

105499604 has 48 divisors (see below), whose sum is σ = 215324928. Its totient is φ = 44299008.

The previous prime is 105499573. The next prime is 105499657. The reversal of 105499604 is 406994501.

It is a super-2 number, since 2×1054996042 = 22260332888313632, which contains 22 as substring.

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, 452672 + ... + 452904.

It is an arithmetic number, because the mean of its divisors is an integer number (4485936).

Almost surely, 2105499604 is an apocalyptic number.

105499604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105499604 is an abundant number, since it is smaller than the sum of its proper divisors (109825324).

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

105499604 is a wasteful number, since it uses less digits than its factorization.

105499604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 105499604 is about 10271.3000150906. The cubic root of 105499604 is about 472.5164616382.

The spelling of 105499604 in words is "one hundred five million, four hundred ninety-nine thousand, six hundred four".

Divisors: 1 2 4 7 14 28 103 157 206 233 314 412 466 628 721 932 1099 1442 1631 2198 2884 3262 4396 6524 16171 23999 32342 36581 47998 64684 73162 95996 113197 146324 167993 226394 256067 335986 452788 512134 671972 1024268 3767843 7535686 15071372 26374901 52749802 105499604