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104100444 = 22337137699
BaseRepresentation
bin1100011010001…
…11001001011100
321020212211222000
412031013021130
5203122203234
614155122300
72402560560
oct615071134
9236784860
10104100444
1153842228
122aa43390
131874acc6
14db7b6a0
159214899
hex634725c

104100444 has 48 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 29742768.

The previous prime is 104100443. The next prime is 104100467. The reversal of 104100444 is 444001401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104100443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68094 + ... + 69605.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2104100444 is an apocalyptic number.

104100444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104100444 is an abundant number, since it is smaller than the sum of its proper divisors (204347556).

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

104100444 is a wasteful number, since it uses less digits than its factorization.

104100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137719 (or 137711 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104100444 is about 10202.9625109573. The cubic root of 104100444 is about 470.4182846391.

Adding to 104100444 its reverse (444001401), we get a palindrome (548101845).

The spelling of 104100444 in words is "one hundred four million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 137699 275398 413097 550796 826194 963893 1239291 1652388 1927786 2478582 2891679 3717873 3855572 4957164 5783358 7435746 8675037 11566716 14871492 17350074 26025111 34700148 52050222 104100444