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106208268157 is a prime number
BaseRepresentation
bin110001011101010000…
…0011000111101111101
3101011010211121001010101
41202322200120331331
53220003304040112
6120442535441101
710446640245445
oct1427240307575
9334124531111
10106208268157
1141051886932
1218700b26191
13a027a98cb4
1451d77a5125
152b692b1757
hex18ba818f7d

106208268157 has 2 divisors, whose sum is σ = 106208268158. Its totient is φ = 106208268156.

The previous prime is 106208268109. The next prime is 106208268367. The reversal of 106208268157 is 751862802601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87675802201 + 18532465956 = 296101^2 + 136134^2 .

It is an emirp because it is prime and its reverse (751862802601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106208268157 - 215 = 106208235389 is a prime.

It is a super-2 number, since 2×1062082681572 (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 (106208268107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53104134078 + 53104134079.

It is an arithmetic number, because the mean of its divisors is an integer number (53104134079).

Almost surely, 2106208268157 is an apocalyptic number.

It is an amenable number.

106208268157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106208268157 is an equidigital number, since it uses as much as digits as its factorization.

106208268157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 106208268157 in words is "one hundred six billion, two hundred eight million, two hundred sixty-eight thousand, one hundred fifty-seven".