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106928133780 = 223513137087351
BaseRepresentation
bin110001110010101101…
…0011101011010010100
3101020000000011000010010
41203211122131122110
53222442100240110
6121042213000220
710503531066156
oct1434532353224
9336000130103
10106928133780
11413911645a6
1218882023070
13a110c725a0
145265230ad6
152bac5aa020
hex18e569d694

106928133780 has 48 divisors (see below), whose sum is σ = 322429451904. Its totient is φ = 26320771200.

The previous prime is 106928133773. The next prime is 106928133787. The reversal of 106928133780 is 87331829601.

It is an interprime number because it is at equal distance from previous prime (106928133773) and next prime (106928133787).

It is a super-2 number, since 2×1069281337802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106928133787) 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 15 ways as a sum of consecutive naturals, for example, 68542896 + ... + 68544455.

It is an arithmetic number, because the mean of its divisors is an integer number (6717280248).

Almost surely, 2106928133780 is an apocalyptic number.

106928133780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106928133780 is an abundant number, since it is smaller than the sum of its proper divisors (215501318124).

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

106928133780 is a wasteful number, since it uses less digits than its factorization.

106928133780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137087376 (or 137087374 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 106928133780 in words is "one hundred six billion, nine hundred twenty-eight million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 137087351 274174702 411262053 548349404 685436755 822524106 1370873510 1645048212 1782135563 2056310265 2741747020 3564271126 4112620530 5346406689 7128542252 8225241060 8910677815 10692813378 17821355630 21385626756 26732033445 35642711260 53464066890 106928133780