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103421400 = 23352971777
BaseRepresentation
bin1100010101000…
…01010111011000
321012121100111020
412022201113120
5202433441100
614132402440
72364032055
oct612412730
9235540436
10103421400
1153419035
122a776420
1318570bc4
14da4202c
15912d5a0
hex62a15d8

103421400 has 96 divisors (see below), whose sum is σ = 324093840. Its totient is φ = 27279360.

The previous prime is 103421399. The next prime is 103421419. The reversal of 103421400 is 4124301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103421400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57312 + ... + 59088.

Almost surely, 2103421400 is an apocalyptic number.

103421400 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 103421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162046920).

103421400 is an abundant number, since it is smaller than the sum of its proper divisors (220672440).

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

103421400 is a wasteful number, since it uses less digits than its factorization.

103421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103421400 is about 10169.6312617518. The cubic root of 103421400 is about 469.3932112144.

Adding to 103421400 its reverse (4124301), we get a palindrome (107545701).

The spelling of 103421400 in words is "one hundred three million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1777 1940 2328 2425 2910 3554 3880 4850 5331 5820 7108 7275 8885 9700 10662 11640 14216 14550 17770 19400 21324 26655 29100 35540 42648 44425 53310 58200 71080 88850 106620 133275 172369 177700 213240 266550 344738 355400 517107 533100 689476 861845 1034214 1066200 1378952 1723690 2068428 2585535 3447380 4136856 4309225 5171070 6894760 8618450 10342140 12927675 17236900 20684280 25855350 34473800 51710700 103421400