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109905318 = 23237592797
BaseRepresentation
bin1101000110100…
…00010110100110
321122210202202100
412203100112212
5211113432233
614523352530
72503115445
oct643202646
9248722670
10109905318
1157047546
1230982746
1319a01243
141084cd5c
1599ae813
hex68d05a6

109905318 has 48 divisors (see below), whose sum is σ = 248798160. Its totient is φ = 35028288.

The previous prime is 109905311. The next prime is 109905361. The reversal of 109905318 is 813509901.

It is a happy number.

It is a super-2 number, since 2×1099053182 = 24158357849362248, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109905311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37896 + ... + 40692.

It is an arithmetic number, because the mean of its divisors is an integer number (5183295).

Almost surely, 2109905318 is an apocalyptic number.

109905318 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 109905318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124399080).

109905318 is an abundant number, since it is smaller than the sum of its proper divisors (138892842).

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

109905318 is a wasteful number, since it uses less digits than its factorization.

109905318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 109905318 is about 10483.5737227341. The cubic root of 109905318 is about 479.0044731489.

The spelling of 109905318 in words is "one hundred nine million, nine hundred five thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 2183 2797 4366 5594 6549 8391 13098 16782 19647 25173 39294 50346 103489 165023 206978 310467 330046 495069 620934 931401 990138 1485207 1862802 2970414 6105851 12211702 18317553 36635106 54952659 109905318