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100536345 = 32571324551
BaseRepresentation
bin1011111111000…
…01000000011001
321000011202221100
411333201000121
5201214130340
613550502013
72330354610
oct577410031
9230152840
10100536345
1151828498
1229804909
1317aa0980
14d4d0877
158c5d830
hex5fe1019

100536345 has 48 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 42422400.

The previous prime is 100536341. The next prime is 100536349. The reversal of 100536345 is 543635001.

It is an interprime number because it is at equal distance from previous prime (100536341) and next prime (100536349).

It is not a de Polignac number, because 100536345 - 22 = 100536341 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100536341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8181 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2100536345 is an apocalyptic number.

100536345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100536345 is an abundant number, since it is smaller than the sum of its proper divisors (113949927).

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

100536345 is a wasteful number, since it uses less digits than its factorization.

100536345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24582 (or 24579 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 100536345 is about 10026.7813878632. The cubic root of 100536345 is about 464.9872351681.

The spelling of 100536345 in words is "one hundred million, five hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 24551 73653 122755 171857 220959 319163 368265 515571 859285 957489 1104795 1546713 1595815 2234141 2577855 2872467 4787445 6702423 7733565 11170705 14362335 20107269 33512115 100536345