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106477355200 = 265266548347
BaseRepresentation
bin110001100101010001…
…0111000000011000000
3101011211120221002011011
41203022202320003000
53221031200331300
6120525351130304
710456415404666
oct1431242700300
9334746832134
10106477355200
114117a766a17
1218777073994
13a06b7623b8
14522140cc36
152b82c15eba
hex18ca8b80c0

106477355200 has 42 divisors (see below), whose sum is σ = 262000846076. Its totient is φ = 42590941440.

The previous prime is 106477355191. The next prime is 106477355203. The reversal of 106477355200 is 2553774601.

It is a super-2 number, since 2×1064773552002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106477355203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33272574 + ... + 33275773.

Almost surely, 2106477355200 is an apocalyptic number.

106477355200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106477355200 is an abundant number, since it is smaller than the sum of its proper divisors (155523490876).

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

106477355200 is an equidigital number, since it uses as much as digits as its factorization.

106477355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66548369 (or 66548354 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 106477355200 in words is "one hundred six billion, four hundred seventy-seven million, three hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 66548347 133096694 266193388 332741735 532386776 665483470 1064773552 1330966940 1663708675 2129547104 2661933880 3327417350 4259094208 5323867760 6654834700 10647735520 13309669400 21295471040 26619338800 53238677600 106477355200