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103125344 = 2573114851
BaseRepresentation
bin1100010010110…
…01000101100000
321012001022101012
412021121011200
5202400002334
614122200052
72361356660
oct611310540
9235038335
10103125344
1153236663
122a653028
131849921a
14d9a61a0
1590c09ce
hex6259160

103125344 has 48 divisors (see below), whose sum is σ = 239533056. Its totient is φ = 42768000.

The previous prime is 103125329. The next prime is 103125371. The reversal of 103125344 is 443521301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (4990272).

Almost surely, 2103125344 is an apocalyptic number.

103125344 is a gapful number since it is divisible by the number (14) 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 103125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119766528).

103125344 is an abundant number, since it is smaller than the sum of its proper divisors (136407712).

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

103125344 is a wasteful number, since it uses less digits than its factorization.

103125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 103125344 is about 10155.0649431700. The cubic root of 103125344 is about 468.9448852694.

Adding to 103125344 its reverse (443521301), we get a palindrome (546646645).

The spelling of 103125344 in words is "one hundred three million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 14851 29702 59404 103957 118808 207914 237616 415828 460381 475232 831656 920762 1663312 1841524 3222667 3326624 3683048 6445334 7366096 12890668 14732192 25781336 51562672 103125344