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106958538 = 2325942141
BaseRepresentation
bin1100110000000…
…00111011001010
321110021001112100
412120000323022
5204340133123
614340254230
72436063321
oct630007312
9243231470
10106958538
1155414595
122b9a1376
131920bb9b
14102c30b8
1595cb643
hex6600eca

106958538 has 12 divisors (see below), whose sum is σ = 231743538. Its totient is φ = 35652840.

The previous prime is 106958521. The next prime is 106958567. The reversal of 106958538 is 835859601.

106958538 is a `hidden beast` number, since 1 + 0 + 69 + 58 + 538 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73051209 + 33907329 = 8547^2 + 5823^2 .

It is a super-2 number, since 2×1069585382 = 22880257702194888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106958493 and 106958502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2971053 + ... + 2971088.

Almost surely, 2106958538 is an apocalyptic number.

106958538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106958538 is an abundant number, since it is smaller than the sum of its proper divisors (124785000).

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

106958538 is a wasteful number, since it uses less digits than its factorization.

106958538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942149 (or 5942146 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 106958538 is about 10342.0760971867. The cubic root of 106958538 is about 474.6846113191.

The spelling of 106958538 in words is "one hundred six million, nine hundred fifty-eight thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 5942141 11884282 17826423 35652846 53479269 106958538