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106119504 = 2433614027
BaseRepresentation
bin1100101001101…
…00000101010000
321101200102121000
412110310011100
5204131311004
614310302000
72426000211
oct624640520
9241612530
10106119504
11549a1177
122b657900
1318ca700a
1410145408
1594b2c39
hex6534150

106119504 has 80 divisors (see below), whose sum is σ = 309672640. Its totient is φ = 34784640.

The previous prime is 106119499. The next prime is 106119569. The reversal of 106119504 is 405911601.

It is a super-2 number, since 2×1061195042 = 22522698258412032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24339 + ... + 28365.

It is an arithmetic number, because the mean of its divisors is an integer number (3870908).

Almost surely, 2106119504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106119504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154836320).

106119504 is an abundant number, since it is smaller than the sum of its proper divisors (203553136).

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

106119504 is a wasteful number, since it uses less digits than its factorization.

106119504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106119504 is about 10301.4321334463. The cubic root of 106119504 is about 473.4401337173.

The spelling of 106119504 in words is "one hundred six million, one hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4027 4392 6588 8054 8784 12081 13176 16108 24162 26352 32216 36243 48324 64432 72486 96648 108729 144972 193296 217458 245647 289944 434916 491294 579888 736941 869832 982588 1473882 1739664 1965176 2210823 2947764 3930352 4421646 5895528 6632469 8843292 11791056 13264938 17686584 26529876 35373168 53059752 106119504