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106102503 = 32132931271
BaseRepresentation
bin1100101001011…
…11111011100111
321101122120021100
412110233323213
5204130240003
614310051143
72425566513
oct624577347
9241576240
10106102503
115498a421
122b649ab3
1318c9c360
141013d143
1594acba3
hex652fee7

106102503 has 24 divisors (see below), whose sum is σ = 170745120. Its totient is φ = 63040320.

The previous prime is 106102499. The next prime is 106102511. The reversal of 106102503 is 305201601.

106102503 is a `hidden beast` number, since 1 + 0 + 610 + 2 + 50 + 3 = 666.

It is not a de Polignac number, because 106102503 - 22 = 106102499 is a prime.

It is a super-2 number, since 2×1061025032 = 22515482285730018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12243 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (7114380).

Almost surely, 2106102503 is an apocalyptic number.

106102503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106102503 is a deficient number, since it is larger than the sum of its proper divisors (64642617).

106102503 is a wasteful number, since it uses less digits than its factorization.

106102503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31319 (or 31316 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106102503 is about 10300.6069238662. The cubic root of 106102503 is about 473.4148496892.

The spelling of 106102503 in words is "one hundred six million, one hundred two thousand, five hundred three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 31271 93813 281439 406523 906859 1219569 2720577 3658707 8161731 11789167 35367501 106102503