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106290018 = 232171632131
BaseRepresentation
bin1100101010111…
…01101101100010
321102000002111100
412111131231202
5204202240033
614314055230
72430310302
oct625355542
9242002440
10106290018
1154aa829a
122b71a516
1319036803
141018b602
1594e8513
hex655db62

106290018 has 48 divisors (see below), whose sum is σ = 245452896. Its totient is φ = 33125760.

The previous prime is 106289993. The next prime is 106290029. The reversal of 106290018 is 810092601.

It is a super-2 number, since 2×1062900182 = 22595135852880648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106289973 and 106290000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48813 + ... + 50943.

It is an arithmetic number, because the mean of its divisors is an integer number (5113602).

Almost surely, 2106290018 is an apocalyptic number.

106290018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106290018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122726448).

106290018 is an abundant number, since it is smaller than the sum of its proper divisors (139162878).

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

106290018 is a wasteful number, since it uses less digits than its factorization.

106290018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106290018 is about 10309.7050394277. The cubic root of 106290018 is about 473.6935743139.

The spelling of 106290018 in words is "one hundred six million, two hundred ninety thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 163 306 326 489 978 1467 2131 2771 2934 4262 5542 6393 8313 12786 16626 19179 24939 36227 38358 49878 72454 108681 217362 326043 347353 652086 694706 1042059 2084118 3126177 5905001 6252354 11810002 17715003 35430006 53145009 106290018