Search a number
-
+
106008858 = 2331963127
BaseRepresentation
bin1100101000110…
…01000100011010
321101110210211000
412110121010122
5204114240413
614304045430
72425026504
oct624310432
9241423730
10106008858
115492602a
122b603876
1318c68847
1410116d74
159490073
hex651911a

106008858 has 16 divisors (see below), whose sum is σ = 235575360. Its totient is φ = 35336268.

The previous prime is 106008853. The next prime is 106008869. The reversal of 106008858 is 858800601.

It is a super-2 number, since 2×1060088582 = 22475755948928328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106008853) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 981510 + ... + 981617.

It is an arithmetic number, because the mean of its divisors is an integer number (14723460).

Almost surely, 2106008858 is an apocalyptic number.

106008858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106008858 is an abundant number, since it is smaller than the sum of its proper divisors (129566502).

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

106008858 is a wasteful number, since it uses less digits than its factorization.

106008858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963138 (or 1963132 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 106008858 is about 10296.0603145087. The cubic root of 106008858 is about 473.2755316356.

The spelling of 106008858 in words is "one hundred six million, eight thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 1963127 3926254 5889381 11778762 17668143 35336286 53004429 106008858