| Base | Representation |
|---|---|
| bin | 1100001101000… |
| … | …10100000000000 |
| 3 | 21010122022111020 |
| 4 | 12012202200000 |
| 5 | 202202034342 |
| 6 | 14054145440 |
| 7 | 2352123411 |
| oct | 606424000 |
| 9 | 233568436 |
| 10 | 102377472 |
| 11 | 5287578a |
| 12 | 2a352280 |
| 13 | 182969b2 |
| 14 | d84d808 |
| 15 | 8ec40ec |
| hex | 61a2800 |
102377472 has 96 divisors (see below), whose sum is σ = 287632800. Its totient is φ = 32292864.
The previous prime is 102377467. The next prime is 102377477. The reversal of 102377472 is 274773201.
It is an interprime number because it is at equal distance from previous prime (102377467) and next prime (102377477).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1023774722 = 20962293546221568, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (102377477) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116298 + ... + 117174.
It is an arithmetic number, because the mean of its divisors is an integer number (2996175).
Almost surely, 2102377472 is an apocalyptic number.
102377472 is a gapful number since it is divisible by the number (12) 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 102377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143816400).
102377472 is an abundant number, since it is smaller than the sum of its proper divisors (185255328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102377472 is an equidigital number, since it uses as much as digits as its factorization.
102377472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 921 (or 901 counting only the distinct ones).
The product of its (nonzero) digits is 16464, while the sum is 33.
The square root of 102377472 is about 10118.1753295740. The cubic root of 102377472 is about 467.8085271230.
The spelling of 102377472 in words is "one hundred two million, three hundred seventy-seven thousand, four hundred seventy-two".
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