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103409100 = 223252891291
BaseRepresentation
bin1100010100111…
…10010111001100
321012120201121200
412022132113030
5202433042400
614132225500
72363651154
oct612362714
9235521550
10103409100
115340a873
122a76b290
1318568422
14da3b764
159129b00
hex629e5cc

103409100 has 108 divisors (see below), whose sum is σ = 328025880. Its totient is φ = 27244800.

The previous prime is 103409069. The next prime is 103409161. The reversal of 103409100 is 1904301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79455 + ... + 80745.

Almost surely, 2103409100 is an apocalyptic number.

103409100 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 103409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164012940).

103409100 is an abundant number, since it is smaller than the sum of its proper divisors (224616780).

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

103409100 is a wasteful number, since it uses less digits than its factorization.

103409100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103409100 is about 10169.0265020797. The cubic root of 103409100 is about 469.3746020246.

The spelling of 103409100 in words is "one hundred three million, four hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1068 1291 1335 1602 1780 2225 2582 2670 3204 3873 4005 4450 5164 5340 6455 6675 7746 8010 8900 11619 12910 13350 15492 16020 19365 20025 23238 25820 26700 32275 38730 40050 46476 58095 64550 77460 80100 96825 114899 116190 129100 193650 229798 232380 290475 344697 387300 459596 574495 580950 689394 1034091 1148990 1161900 1378788 1723485 2068182 2297980 2872475 3446970 4136364 5170455 5744950 6893940 8617425 10340910 11489900 17234850 20681820 25852275 34469700 51704550 103409100