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106898440 = 235111271913
BaseRepresentation
bin1100101111100…
…10010000001000
321110011000002111
412113302100020
5204331222230
614335112104
72435423155
oct627622010
9243130074
10106898440
1155383420
122b972634
13191ba71c
14102a922c
1595b892a
hex65f2408

106898440 has 64 divisors (see below), whose sum is σ = 264591360. Its totient is φ = 38545920.

The previous prime is 106898417. The next prime is 106898453. The reversal of 106898440 is 44898601.

It is a super-2 number, since 2×1068984402 = 22854552948867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 106898393 and 106898402.

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 15 ways as a sum of consecutive naturals, for example, 54924 + ... + 56836.

It is an arithmetic number, because the mean of its divisors is an integer number (4134240).

Almost surely, 2106898440 is an apocalyptic number.

106898440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106898440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132295680).

106898440 is an abundant number, since it is smaller than the sum of its proper divisors (157692920).

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

106898440 is a wasteful number, since it uses less digits than its factorization.

106898440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 106898440 is about 10339.1701794680. The cubic root of 106898440 is about 474.5956891971.

The spelling of 106898440 in words is "one hundred six million, eight hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 1913 2540 2794 3826 5080 5588 6985 7652 9565 11176 13970 15304 19130 21043 27940 38260 42086 55880 76520 84172 105215 168344 210430 242951 420860 485902 841720 971804 1214755 1943608 2429510 2672461 4859020 5344922 9718040 10689844 13362305 21379688 26724610 53449220 106898440