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106151560101 = 333931539263
BaseRepresentation
bin110001011011100100…
…0000100001110100101
3101010222212212222022000
41202313020010032211
53214344244410401
6120433152155513
710445351242026
oct1426710041645
9333885788260
10106151560101
1141022874274
12186a5b38b99
13a019102532
1451d0042c4d
152b6430e186
hex18b72043a5

106151560101 has 8 divisors (see below), whose sum is σ = 157261570560. Its totient is φ = 70767706716.

The previous prime is 106151560087. The next prime is 106151560127. The reversal of 106151560101 is 101065151601.

106151560101 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 51 + 5 + 601 + 0 + 1 = 666.

It is not a de Polignac number, because 106151560101 - 210 = 106151559077 is a prime.

It is a super-2 number, since 2×1061515601012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3931539263 = 106151560101 / (1 + 0 + 6 + 1 + 5 + 1 + 5 + 6 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151560181) 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, 1965769605 + ... + 1965769658.

It is an arithmetic number, because the mean of its divisors is an integer number (19657696320).

Almost surely, 2106151560101 is an apocalyptic number.

It is an amenable number.

106151560101 is a deficient number, since it is larger than the sum of its proper divisors (51110010459).

106151560101 is an equidigital number, since it uses as much as digits as its factorization.

106151560101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931539272 (or 3931539266 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 106151560101 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, one hundred one".

Divisors: 1 3 9 27 3931539263 11794617789 35383853367 106151560101