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106055052777 = 32195273117619
BaseRepresentation
bin110001011000101011…
…1111010110111101001
3101010202011021220010200
41202301113322313221
53214200043142102
6120415423502413
710443100034412
oct1426127726751
9333664256120
10106055052777
1140a83348953
1218679757a09
13a0021126cb
1451c12c0809
152b5aae951c
hex18b15fade9

106055052777 has 24 divisors (see below), whose sum is σ = 161285248800. Its totient is φ = 66968866368.

The previous prime is 106055052737. The next prime is 106055052781. The reversal of 106055052777 is 777250550601.

It is a happy number.

106055052777 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 50 + 527 + 77 = 666.

It is not a de Polignac number, because 106055052777 - 230 = 104981310953 is a prime.

It is a super-2 number, since 2×1060550527772 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055052737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842874 + ... + 960492.

It is an arithmetic number, because the mean of its divisors is an integer number (6720218700).

Almost surely, 2106055052777 is an apocalyptic number.

It is an amenable number.

106055052777 is a deficient number, since it is larger than the sum of its proper divisors (55230196023).

106055052777 is a wasteful number, since it uses less digits than its factorization.

106055052777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122917 (or 122914 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 106055052777 in words is "one hundred six billion, fifty-five million, fifty-two thousand, seven hundred seventy-seven".

Divisors: 1 3 9 19 57 171 5273 15819 47457 100187 117619 300561 352857 901683 1058571 2234761 6704283 20112849 620204987 1860614961 5581844883 11783894753 35351684259 106055052777