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105420750 = 2353367383
BaseRepresentation
bin1100100100010…
…01011111001110
321100100221002020
412102021133032
5203441431000
614243311010
72420030061
oct622113716
9240327066
10105420750
1154564196
122b37b466
1318ac0c56
14100028d8
1593c5ba0
hex64897ce

105420750 has 64 divisors (see below), whose sum is σ = 264536064. Its totient is φ = 27962400.

The previous prime is 105420743. The next prime is 105420761. The reversal of 105420750 is 57024501.

It is a super-2 number, since 2×1054207502 = 22227069061125000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105420750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275059 + ... + 275441.

It is an arithmetic number, because the mean of its divisors is an integer number (4133376).

Almost surely, 2105420750 is an apocalyptic number.

105420750 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 105420750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268032).

105420750 is an abundant number, since it is smaller than the sum of its proper divisors (159115314).

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

105420750 is a wasteful number, since it uses less digits than its factorization.

105420750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105420750 is about 10267.4607376897. The cubic root of 105420750 is about 472.3987073258.

The spelling of 105420750 in words is "one hundred five million, four hundred twenty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 367 375 383 734 750 766 1101 1149 1835 1915 2202 2298 3670 3830 5505 5745 9175 9575 11010 11490 18350 19150 27525 28725 45875 47875 55050 57450 91750 95750 137625 140561 143625 275250 281122 287250 421683 702805 843366 1405610 2108415 3514025 4216830 7028050 10542075 17570125 21084150 35140250 52710375 105420750