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106155995117 = 1722972718533
BaseRepresentation
bin110001011011101100…
…0111110111111101101
3101011000012020021222212
41202313120332333231
53214401413320432
6120433431220205
710445434033064
oct1426730767755
9334005207885
10106155995117
1141025323377
12186a7517665
13a019cc60c3
1451d08791db
152b648d82b2
hex18b763efed

106155995117 has 8 divisors (see below), whose sum is σ = 112449440376. Its totient is φ = 99867991552.

The previous prime is 106155995093. The next prime is 106155995123. The reversal of 106155995117 is 711599551601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6637197961 + 99518797156 = 81469^2 + 315466^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106155995117 - 222 = 106151800813 is a prime.

It is a super-2 number, since 2×1061559951172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106155995177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320218 + ... + 1398315.

It is an arithmetic number, because the mean of its divisors is an integer number (14056180047).

Almost surely, 2106155995117 is an apocalyptic number.

106155995117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106155995117 is a deficient number, since it is larger than the sum of its proper divisors (6293445259).

106155995117 is a wasteful number, since it uses less digits than its factorization.

106155995117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720847.

The product of its (nonzero) digits is 425250, while the sum is 50.

The spelling of 106155995117 in words is "one hundred six billion, one hundred fifty-five million, nine hundred ninety-five thousand, one hundred seventeen".

Divisors: 1 17 2297 39049 2718533 46215061 6244470301 106155995117