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106010590916 = 2226502647729
BaseRepresentation
bin110001010111010111…
…0010011111011000100
3101010122001121222221002
41202232232103323010
53214102202402131
6120411154512432
710442020104116
oct1425656237304
9333561558832
10106010590916
1140a6024000a
1218666895718
139cc5b46009
1451b94293b6
152b56c656cb
hex18aeb93ec4

106010590916 has 6 divisors (see below), whose sum is σ = 185518534110. Its totient is φ = 53005295456.

The previous prime is 106010590913. The next prime is 106010590927. The reversal of 106010590916 is 619095010601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76095429316 + 29915161600 = 275854^2 + 172960^2 .

It is a super-3 number, since 3×1060105909163 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106010590916.

It is not an unprimeable number, because it can be changed into a prime (106010590913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13251323861 + ... + 13251323868.

It is an arithmetic number, because the mean of its divisors is an integer number (30919755685).

Almost surely, 2106010590916 is an apocalyptic number.

It is an amenable number.

106010590916 is a deficient number, since it is larger than the sum of its proper divisors (79507943194).

106010590916 is a wasteful number, since it uses less digits than its factorization.

106010590916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502647733 (or 26502647731 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 38.

The spelling of 106010590916 in words is "one hundred six billion, ten million, five hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 4 26502647729 53005295458 106010590916