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103920500 = 22531910939
BaseRepresentation
bin1100011000110…
…11001101110100
321020112201010102
412030123031310
5203100424000
614151213232
72401211135
oct614331564
9236481112
10103920500
115372a012
122a977218
13186b7128
14db31c8c
1591cb3d5
hex631b374

103920500 has 48 divisors (see below), whose sum is σ = 238929600. Its totient is φ = 39376800.

The previous prime is 103920451. The next prime is 103920517. The reversal of 103920500 is 5029301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4031 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (4977700).

Almost surely, 2103920500 is an apocalyptic number.

103920500 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 103920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119464800).

103920500 is an abundant number, since it is smaller than the sum of its proper divisors (135009100).

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

103920500 is a wasteful number, since it uses less digits than its factorization.

103920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 103920500 is about 10194.1404738212. The cubic root of 103920500 is about 470.1470793651.

Adding to 103920500 its reverse (5029301), we get a palindrome (108949801).

The spelling of 103920500 in words is "one hundred three million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 950 1900 2375 4750 9500 10939 21878 43756 54695 109390 207841 218780 273475 415682 546950 831364 1039205 1093900 1367375 2078410 2734750 4156820 5196025 5469500 10392050 20784100 25980125 51960250 103920500