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100104320 = 275712203
BaseRepresentation
bin1011111011101…
…11100010000000
320222100211022102
411331313202000
5201111314240
613533325532
72323605221
oct575674200
9228324272
10100104320
1151562948
12296368a8
131797c134
14d41b248
158bc5815
hex5f77880

100104320 has 64 divisors (see below), whose sum is σ = 242792640. Its totient is φ = 39459840.

The previous prime is 100104287. The next prime is 100104337. The reversal of 100104320 is 23401001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 44339 + ... + 46541.

It is an arithmetic number, because the mean of its divisors is an integer number (3793635).

Almost surely, 2100104320 is an apocalyptic number.

100104320 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 100104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121396320).

100104320 is an abundant number, since it is smaller than the sum of its proper divisors (142688320).

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

100104320 is an equidigital number, since it uses as much as digits as its factorization.

100104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100104320 is about 10005.2146403763. The cubic root of 100104320 is about 464.3202307841.

Adding to 100104320 its reverse (23401001), we get a palindrome (123505321).

The spelling of 100104320 in words is "one hundred million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 640 710 1136 1420 2203 2272 2840 4406 4544 5680 8812 9088 11015 11360 17624 22030 22720 35248 44060 45440 70496 88120 140992 156413 176240 281984 312826 352480 625652 704960 782065 1251304 1409920 1564130 2502608 3128260 5005216 6256520 10010432 12513040 20020864 25026080 50052160 100104320