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105044362100 = 22526715678263
BaseRepresentation
bin110000111010100100…
…0011100001101110100
3101001010201111111011122
41201311020130031310
53210112324041400
6120131241123112
710406045226356
oct1416510341564
9331121444148
10105044362100
1140604892aa7
1218437189498
139ba09014a2
145126d8d0d6
152aec005685
hex187521c374

105044362100 has 36 divisors (see below), whose sum is σ = 231348463584. Its totient is φ = 41390611680.

The previous prime is 105044362099. The next prime is 105044362109. The reversal of 105044362100 is 1263440501.

It is a super-2 number, since 2×1050443621002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105044362100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044362109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7832432 + ... + 7845831.

Almost surely, 2105044362100 is an apocalyptic number.

105044362100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105044362100 is an abundant number, since it is smaller than the sum of its proper divisors (126304101484).

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

105044362100 is a wasteful number, since it uses less digits than its factorization.

105044362100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678344 (or 15678337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 105044362100 in words is "one hundred five billion, forty-four million, three hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 15678263 31356526 62713052 78391315 156782630 313565260 391956575 783913150 1050443621 1567826300 2100887242 4201774484 5252218105 10504436210 21008872420 26261090525 52522181050 105044362100