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106869750 = 23531397113
BaseRepresentation
bin1100101111010…
…11001111110110
321110002112201220
412113223033312
5204324313000
614334331210
72435243421
oct627531766
9243075656
10106869750
1155363909
122b959b06
13191aa650
141029c9b8
1595b01a0
hex65eb3f6

106869750 has 128 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 25804800.

The previous prime is 106869713. The next prime is 106869767. The reversal of 106869750 is 57968601.

It is a super-2 number, since 2×1068697502 = 22842286930125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945694 + ... + 945806.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2106869750 is an apocalyptic number.

106869750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106869750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

106869750 is an abundant number, since it is smaller than the sum of its proper divisors (185926026).

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

106869750 is a wasteful number, since it uses less digits than its factorization.

106869750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 106869750 is about 10337.7826442618. The cubic root of 106869750 is about 474.5532271848.

The spelling of 106869750 in words is "one hundred six million, eight hundred sixty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 97 113 125 130 150 194 195 226 250 291 325 339 375 390 485 565 582 650 678 750 970 975 1130 1261 1455 1469 1625 1695 1950 2425 2522 2825 2910 2938 3250 3390 3783 4407 4850 4875 5650 6305 7275 7345 7566 8475 8814 9750 10961 12125 12610 14125 14550 14690 16950 18915 21922 22035 24250 28250 31525 32883 36375 36725 37830 42375 44070 54805 63050 65766 72750 73450 84750 94575 109610 110175 142493 157625 164415 183625 189150 220350 274025 284986 315250 328830 367250 427479 472875 548050 550875 712465 822075 854958 945750 1101750 1370125 1424930 1644150 2137395 2740250 3562325 4110375 4274790 7124650 8220750 10686975 17811625 21373950 35623250 53434875 106869750