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106102521 = 337561389
BaseRepresentation
bin1100101001011…
…11111011111001
321101122120022000
412110233323321
5204130240041
614310051213
72425566540
oct624577371
9241576260
10106102521
115498a438
122b649b09
1318c9c375
141013d157
1594acbb6
hex652fef9

106102521 has 16 divisors (see below), whose sum is σ = 179644800. Its totient is φ = 60629904.

The previous prime is 106102511. The next prime is 106102523. The reversal of 106102521 is 125201601.

106102521 is a `hidden beast` number, since 1 + 0 + 610 + 2 + 52 + 1 = 666.

It is not a de Polignac number, because 106102521 - 25 = 106102489 is a prime.

It is a super-2 number, since 2×1061025212 = 22515489925110882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106102494 and 106102503.

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 15 ways as a sum of consecutive naturals, for example, 280506 + ... + 280883.

It is an arithmetic number, because the mean of its divisors is an integer number (11227800).

Almost surely, 2106102521 is an apocalyptic number.

It is an amenable number.

106102521 is a deficient number, since it is larger than the sum of its proper divisors (73542279).

106102521 is an equidigital number, since it uses as much as digits as its factorization.

106102521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561405 (or 561399 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106102521 is about 10300.6077976011. The cubic root of 106102521 is about 473.4148764604.

It can be divided in two parts, 10610 and 2521, that added together give a palindrome (13131).

The spelling of 106102521 in words is "one hundred six million, one hundred two thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 561389 1684167 3929723 5052501 11789169 15157503 35367507 106102521