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106078148401 is a prime number
BaseRepresentation
bin110001011001011000…
…0000001011100110001
3101010210202202021101011
41202302300001130301
53214222001222101
6120422010510521
710443500245531
oct1426260013461
9333722667334
10106078148401
1140a95392a45
1218685435441
13a006b3ab64
1451c43b34c1
152b5cb5c751
hex18b2c01731

106078148401 has 2 divisors, whose sum is σ = 106078148402. Its totient is φ = 106078148400.

The previous prime is 106078148399. The next prime is 106078148443. The reversal of 106078148401 is 104841870601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91959956001 + 14118192400 = 303249^2 + 118820^2 .

It is a cyclic number.

It is not a de Polignac number, because 106078148401 - 21 = 106078148399 is a prime.

It is a super-2 number, since 2×1060781484012 (a number of 23 digits) contains 22 as substring.

Together with 106078148399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106078148461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53039074200 + 53039074201.

It is an arithmetic number, because the mean of its divisors is an integer number (53039074201).

Almost surely, 2106078148401 is an apocalyptic number.

It is an amenable number.

106078148401 is a deficient number, since it is larger than the sum of its proper divisors (1).

106078148401 is an equidigital number, since it uses as much as digits as its factorization.

106078148401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 106078148401 in words is "one hundred six billion, seventy-eight million, one hundred forty-eight thousand, four hundred one".