| Base | Representation |
|---|---|
| bin | 1100001110111… |
| … | …01101111000100 |
| 3 | 21011002122022110 |
| 4 | 12013131233010 |
| 5 | 202232320400 |
| 6 | 14103301020 |
| 7 | 2354153652 |
| oct | 607355704 |
| 9 | 234078273 |
| 10 | 102620100 |
| 11 | 52a21000 |
| 12 | 2a44a770 |
| 13 | 1835026b |
| 14 | d8b3dd2 |
| 15 | 9020e50 |
| hex | 61ddbc4 |
102620100 has 144 divisors (see below), whose sum is σ = 327854016. Its totient is φ = 24780800.
The previous prime is 102620099. The next prime is 102620101. The reversal of 102620100 is 1026201.
It is an interprime number because it is at equal distance from previous prime (102620099) and next prime (102620101).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (102620101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399172 + ... + 399428.
It is an arithmetic number, because the mean of its divisors is an integer number (2276764).
Almost surely, 2102620100 is an apocalyptic number.
102620100 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 102620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163927008).
102620100 is an abundant number, since it is smaller than the sum of its proper divisors (225233916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102620100 is a wasteful number, since it uses less digits than its factorization.
102620100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 307 (or 278 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 102620100 is about 10130.1579454617. The cubic root of 102620100 is about 468.1777942339.
Adding to 102620100 its reverse (1026201), we get a palindrome (103646301).
Multiplying 102620100 by its reverse (1026201), we get a square (105308849240100 = 102620102).
102620100 divided by its reverse (1026201) gives a square (100 = 102).
The spelling of 102620100 in words is "one hundred two million, six hundred twenty thousand, one hundred".
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