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106056120 = 23357871123
BaseRepresentation
bin1100101001001…
…00100110111000
321101120012122110
412110210212320
5204122243440
614305052320
72425314342
oct624444670
9241505573
10106056120
1154958595
122b6270a0
1318c84201
141012a292
15949e080
hex65249b8

106056120 has 64 divisors (see below), whose sum is σ = 318856320. Its totient is φ = 28220544.

The previous prime is 106056101. The next prime is 106056133. The reversal of 106056120 is 21650601.

It is a happy number.

It is a super-2 number, since 2×1060561202 = 22495801178908800, which contains 22 as substring.

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, 93879 + ... + 95001.

It is an arithmetic number, because the mean of its divisors is an integer number (4982130).

Almost surely, 2106056120 is an apocalyptic number.

106056120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106056120 is an abundant number, since it is smaller than the sum of its proper divisors (212800200).

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

106056120 is a wasteful number, since it uses less digits than its factorization.

106056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106056120 is about 10298.3552084787. The cubic root of 106056120 is about 473.3458547681.

The spelling of 106056120 in words is "one hundred six million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1123 1574 2246 2361 3148 3369 3935 4492 4722 5615 6296 6738 7870 8984 9444 11230 11805 13476 15740 16845 18888 22460 23610 26952 31480 33690 44920 47220 67380 94440 134760 883801 1767602 2651403 3535204 4419005 5302806 7070408 8838010 10605612 13257015 17676020 21211224 26514030 35352040 53028060 106056120