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106499947157 is a prime number
BaseRepresentation
bin110001100101111100…
…1000011101010010101
3101011220011102212111022
41203023321003222111
53221102441302112
6120531515250525
710460111420522
oct1431371035225
9334804385438
10106499947157
114119149765a
1218782749a45
13a073342516
145224410149
152b84bc9d72
hex18cbe43a95

106499947157 has 2 divisors, whose sum is σ = 106499947158. Its totient is φ = 106499947156.

The previous prime is 106499947139. The next prime is 106499947219. The reversal of 106499947157 is 751749994601.

It is an a-pointer prime, because the next prime (106499947219) can be obtained adding 106499947157 to its sum of digits (62).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96701718961 + 9798228196 = 310969^2 + 98986^2 .

It is a cyclic number.

It is not a de Polignac number, because 106499947157 - 214 = 106499930773 is a prime.

It is a super-2 number, since 2×1064999471572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106499947157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106499947117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53249973578 + 53249973579.

It is an arithmetic number, because the mean of its divisors is an integer number (53249973579).

Almost surely, 2106499947157 is an apocalyptic number.

It is an amenable number.

106499947157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106499947157 is an equidigital number, since it uses as much as digits as its factorization.

106499947157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 62.

The spelling of 106499947157 in words is "one hundred six billion, four hundred ninety-nine million, nine hundred forty-seven thousand, one hundred fifty-seven".