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106722840 = 23357127051
BaseRepresentation
bin1100101110001…
…11011000011000
321102211002012210
412113013120120
5204310112330
614331235120
72434062210
oct627073030
9242732183
10106722840
11552734a4
122b8a8aa0
1319158813
1410261240
1595818b0
hex65c7618

106722840 has 64 divisors (see below), whose sum is σ = 365909760. Its totient is φ = 24393600.

The previous prime is 106722827. The next prime is 106722841. The reversal of 106722840 is 48227601.

It is a super-2 number, since 2×1067228402 = 22779529155331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106722798 and 106722807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106722841) 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, 62686 + ... + 64365.

It is an arithmetic number, because the mean of its divisors is an integer number (5717340).

Almost surely, 2106722840 is an apocalyptic number.

106722840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106722840 is an abundant number, since it is smaller than the sum of its proper divisors (259186920).

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

106722840 is a wasteful number, since it uses less digits than its factorization.

106722840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127072 (or 127068 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106722840 is about 10330.6747117504. The cubic root of 106722840 is about 474.3356770528.

The spelling of 106722840 in words is "one hundred six million, seven hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 127051 254102 381153 508204 635255 762306 889357 1016408 1270510 1524612 1778714 1905765 2541020 2668071 3049224 3557428 3811530 4446785 5082040 5336142 7114856 7623060 8893570 10672284 13340355 15246120 17787140 21344568 26680710 35574280 53361420 106722840