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106193690501 is a prime number
BaseRepresentation
bin110001011100110100…
…0110001111110000101
3101011002211011102100012
41202321220301332011
53214441041044001
6120441255200005
710446402322133
oct1427150617605
9334084142305
10106193690501
114104462a488
12186b8076005
13a024a63972
1451d588c753
152b67d822bb
hex18b9a31f85

106193690501 has 2 divisors, whose sum is σ = 106193690502. Its totient is φ = 106193690500.

The previous prime is 106193690483. The next prime is 106193690521. The reversal of 106193690501 is 105096391601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84142925476 + 22050765025 = 290074^2 + 148495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106193690501 is a prime.

It is a super-2 number, since 2×1061936905012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106193690521) 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, 53096845250 + 53096845251.

It is an arithmetic number, because the mean of its divisors is an integer number (53096845251).

Almost surely, 2106193690501 is an apocalyptic number.

It is an amenable number.

106193690501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106193690501 is an equidigital number, since it uses as much as digits as its factorization.

106193690501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 41.

The spelling of 106193690501 in words is "one hundred six billion, one hundred ninety-three million, six hundred ninety thousand, five hundred one".