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100815104 = 281330293
BaseRepresentation
bin1100000001001…
…01000100000000
321000200221022202
412000211010000
5201302040404
614000452332
72332625405
oct600450400
9230627282
10100815104
11519a8975
122991a0a8
1317b6a810
14d5642ac
158cb621e
hex6025100

100815104 has 36 divisors (see below), whose sum is σ = 216723276. Its totient is φ = 46528512.

The previous prime is 100815103. The next prime is 100815133. The reversal of 100815104 is 401518001.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 73273600 = 5248^2 + 8560^2 .

It is a super-3 number, since 3×1008151043 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100815103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11819 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (6020091).

Almost surely, 2100815104 is an apocalyptic number.

It is an amenable number.

100815104 is an abundant number, since it is smaller than the sum of its proper divisors (115908172).

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

100815104 is an equidigital number, since it uses as much as digits as its factorization.

100815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30322 (or 30308 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 100815104 is about 10040.6724874383. The cubic root of 100815104 is about 465.4165981729.

The spelling of 100815104 in words is "one hundred million, eight hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 30293 60586 121172 242344 393809 484688 787618 969376 1575236 1938752 3150472 3877504 6300944 7755008 12601888 25203776 50407552 100815104