| Base | Representation |
|---|---|
| bin | 1100110001100… |
| … | …11010100110100 |
| 3 | 21110122112201100 |
| 4 | 12120303110310 |
| 5 | 204413234410 |
| 6 | 14344530100 |
| 7 | 2440613226 |
| oct | 630632464 |
| 9 | 243575640 |
| 10 | 107164980 |
| 11 | 555456aa |
| 12 | 2ba80930 |
| 13 | 19281b40 |
| 14 | 10338416 |
| 15 | 961c8c0 |
| hex | 6633534 |
107164980 has 144 divisors (see below), whose sum is σ = 358931664. Its totient is φ = 25712640.
The previous prime is 107164979. The next prime is 107164999. The reversal of 107164980 is 89461701.
107164980 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 649 + 8 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 58890276 + 48274704 = 7674^2 + 6948^2 .
It is a super-2 number, since 2×1071649802 = 22968665876800800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95382 + ... + 96498.
It is an arithmetic number, because the mean of its divisors is an integer number (2492581).
Almost surely, 2107164980 is an apocalyptic number.
107164980 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 107164980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179465832).
107164980 is an abundant number, since it is smaller than the sum of its proper divisors (251766684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107164980 is a wasteful number, since it uses less digits than its factorization.
107164980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 107164980 is about 10352.0519705032. The cubic root of 107164980 is about 474.9898132626.
The spelling of 107164980 in words is "one hundred seven million, one hundred sixty-four thousand, nine hundred eighty".
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