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106309007 = 7171396427
BaseRepresentation
bin1100101011000…
…10010110001111
321102001001112122
412111202112033
5204203342012
614314323155
72430416540
oct625422617
9242031478
10106309007
1155010592
122b7294bb
131904234c
14101944c7
1594ede72
hex656258f

106309007 has 16 divisors (see below), whose sum is σ = 129588480. Its totient is φ = 85131648.

The previous prime is 106308949. The next prime is 106309039. The reversal of 106309007 is 700903601.

It is a happy number.

It is not a de Polignac number, because 106309007 - 222 = 102114703 is a prime.

It is a super-2 number, since 2×1063090072 = 22603209938652098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106309067) 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, 13328 + ... + 19754.

It is an arithmetic number, because the mean of its divisors is an integer number (8099280).

Almost surely, 2106309007 is an apocalyptic number.

106309007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106309007 is a deficient number, since it is larger than the sum of its proper divisors (23279473).

106309007 is a wasteful number, since it uses less digits than its factorization.

106309007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 106309007 is about 10310.6259266836. The cubic root of 106309007 is about 473.7217815148.

The spelling of 106309007 in words is "one hundred six million, three hundred nine thousand, seven".

Divisors: 1 7 17 119 139 973 2363 6427 16541 44989 109259 764813 893353 6253471 15187001 106309007