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106923661620 = 223514683121369
BaseRepresentation
bin110001110010100100…
…1011001100100110100
3101012222200201210110120
41203211021121210310
53222434424132440
6121041533051540
710503445061616
oct1434511314464
9335880653416
10106923661620
114138968a5a6
1218880626bb0
13a110067b39
1452647c8db6
152babec4dd0
hex18e5259934

106923661620 has 48 divisors (see below), whose sum is σ = 299409109440. Its totient is φ = 28510799616.

The previous prime is 106923661597. The next prime is 106923661631. The reversal of 106923661620 is 26166329601.

106923661620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1069236616202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820296 + ... + 941664.

It is an arithmetic number, because the mean of its divisors is an integer number (6237689780).

Almost surely, 2106923661620 is an apocalyptic number.

106923661620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106923661620 is an abundant number, since it is smaller than the sum of its proper divisors (192485447820).

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

106923661620 is a wasteful number, since it uses less digits than its factorization.

106923661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136064 (or 136062 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 106923661620 in words is "one hundred six billion, nine hundred twenty-three million, six hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 14683 29366 44049 58732 73415 88098 121369 146830 176196 220245 242738 293660 364107 440490 485476 606845 728214 880980 1213690 1456428 1820535 2427380 3641070 7282140 1782061027 3564122054 5346183081 7128244108 8910305135 10692366162 17820610270 21384732324 26730915405 35641220540 53461830810 106923661620