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106018453020 = 223519463200861
BaseRepresentation
bin110001010111100110…
…0010011011000011100
3101010122121102102201010
41202233030103120130
53214111210444040
6120412035215220
710442143660524
oct1425714233034
9333577372633
10106018453020
1140a6471aa17
1218669447510
139cc766974c
1451ba4b4684
152b577b9e80
hex18af31361c

106018453020 has 96 divisors (see below), whose sum is σ = 313151892480. Its totient is φ = 26725628160.

The previous prime is 106018453019. The next prime is 106018453091. The reversal of 106018453020 is 20354810601.

It is a super-2 number, since 2×1060184530202 (a number of 23 digits) contains 22 as substring.

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

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, 427390 + ... + 628250.

It is an arithmetic number, because the mean of its divisors is an integer number (3261998880).

Almost surely, 2106018453020 is an apocalyptic number.

106018453020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106018453020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156575946240).

106018453020 is an abundant number, since it is smaller than the sum of its proper divisors (207133439460).

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

106018453020 is a wasteful number, since it uses less digits than its factorization.

106018453020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201355 (or 201353 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 106018453020 in words is "one hundred six billion, eighteen million, four hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 463 570 926 1140 1389 1852 2315 2778 4630 5556 6945 8797 9260 13890 17594 26391 27780 35188 43985 52782 87970 105564 131955 175940 200861 263910 401722 527820 602583 803444 1004305 1205166 2008610 2410332 3012915 3816359 4017220 6025830 7632718 11449077 12051660 15265436 19081795 22898154 38163590 45796308 57245385 76327180 92998643 114490770 185997286 228981540 278995929 371994572 464993215 557991858 929986430 1115983716 1394979645 1766974217 1859972860 2789959290 3533948434 5300922651 5579918580 7067896868 8834871085 10601845302 17669742170 21203690604 26504613255 35339484340 53009226510 106018453020