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104106744400 = 2452260266861
BaseRepresentation
bin110000011110100111…
…1101101101001010000
3100221201101012120111011
41200331033231221100
53201202311310100
6115454224500304
710343601504151
oct1407517555120
9327641176434
10104106744400
11401735a7a3a
121821517a694
139a81596709
14507863d928
152a94a47bba
hex183d3eda50

104106744400 has 30 divisors (see below), whose sum is σ = 250116454382. Its totient is φ = 41642697600.

The previous prime is 104106744377. The next prime is 104106744407. The reversal of 104106744400 is 4447601401.

It can be written as a sum of positive squares in 3 ways, for example, as 6627913744 + 97478830656 = 81412^2 + 312216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104106744407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130133031 + ... + 130133830.

Almost surely, 2104106744400 is an apocalyptic number.

104106744400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104106744400 is an abundant number, since it is smaller than the sum of its proper divisors (146009709982).

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

104106744400 is a wasteful number, since it uses less digits than its factorization.

104106744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260266879 (or 260266868 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 104106744400 in words is "one hundred four billion, one hundred six million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 260266861 520533722 1041067444 1301334305 2082134888 2602668610 4164269776 5205337220 6506671525 10410674440 13013343050 20821348880 26026686100 52053372200 104106744400