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104554120 = 23511293811
BaseRepresentation
bin1100011101101…
…01111010001000
321021201220021211
412032311322020
5203231212440
614212542504
72406460336
oct616657210
9237656254
10104554120
1154022070
122b021a34
1318879658
14dc58b56
1592a3eea
hex63b5e88

104554120 has 64 divisors (see below), whose sum is σ = 257826240. Its totient is φ = 37843200.

The previous prime is 104554117. The next prime is 104554133. The reversal of 104554120 is 21455401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 104554091 and 104554100.

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, 128515 + ... + 129325.

It is an arithmetic number, because the mean of its divisors is an integer number (4028535).

Almost surely, 2104554120 is an apocalyptic number.

104554120 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 104554120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128913120).

104554120 is an abundant number, since it is smaller than the sum of its proper divisors (153272120).

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

104554120 is a wasteful number, since it uses less digits than its factorization.

104554120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 104554120 is about 10225.1709032172. The cubic root of 104554120 is about 471.1006647111.

The spelling of 104554120 in words is "one hundred four million, five hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 293 440 586 811 1172 1465 1622 2344 2930 3223 3244 4055 5860 6446 6488 8110 8921 11720 12892 16115 16220 17842 25784 32230 32440 35684 44605 64460 71368 89210 128920 178420 237623 356840 475246 950492 1188115 1900984 2376230 2613853 4752460 5227706 9504920 10455412 13069265 20910824 26138530 52277060 104554120