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106177535220 = 22351978982871
BaseRepresentation
bin110001011100010101…
…1001001110011110100
3101011001200202122110110
41202320223021303310
53214422422111340
6120435521023020
710446115105161
oct1427053116364
9334050678413
10106177535220
11410364a5809
12186b2784a70
13a0215c8523
1451d3685068
152b66740680
hex18b8ac9cf4

106177535220 has 48 divisors (see below), whose sum is σ = 298806254208. Its totient is φ = 28170280320.

The previous prime is 106177535203. The next prime is 106177535227. The reversal of 106177535220 is 22535771601.

It is a happy number.

It is a super-2 number, since 2×1061775352202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106177535227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479616 + ... + 4503255.

It is an arithmetic number, because the mean of its divisors is an integer number (6225130296).

Almost surely, 2106177535220 is an apocalyptic number.

106177535220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106177535220 is an abundant number, since it is smaller than the sum of its proper divisors (192628718988).

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

106177535220 is a wasteful number, since it uses less digits than its factorization.

106177535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983080 (or 8983078 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 106177535220 in words is "one hundred six billion, one hundred seventy-seven million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11820 8982871 17965742 26948613 35931484 44914355 53897226 89828710 107794452 134743065 179657420 269486130 538972260 1769625587 3539251174 5308876761 7078502348 8848127935 10617753522 17696255870 21235507044 26544383805 35392511740 53088767610 106177535220