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106512207157 is a prime number
BaseRepresentation
bin110001100110010011…
…1110100110100110101
3101011221000111202001101
41203030213310310311
53221114111112112
6120533034130101
710460320552126
oct1431447646465
9334830452041
10106512207157
1141198400794
1218786880931
13a075a45965
145225cc204d
152b85cec757
hex18cc9f4d35

106512207157 has 2 divisors, whose sum is σ = 106512207158. Its totient is φ = 106512207156.

The previous prime is 106512207097. The next prime is 106512207161. The reversal of 106512207157 is 751702215601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82065633841 + 24446573316 = 286471^2 + 156354^2 .

It is a cyclic number.

It is not a de Polignac number, because 106512207157 - 219 = 106511682869 is a prime.

It is a super-3 number, since 3×1065122071573 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106512207457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53256103578 + 53256103579.

It is an arithmetic number, because the mean of its divisors is an integer number (53256103579).

Almost surely, 2106512207157 is an apocalyptic number.

It is an amenable number.

106512207157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106512207157 is an equidigital number, since it uses as much as digits as its factorization.

106512207157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 106512207157 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, one hundred fifty-seven".