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106102541 is a prime number
BaseRepresentation
bin1100101001011…
…11111100001101
321101122120022202
412110233330031
5204130240131
614310051245
72425566566
oct624577415
9241576282
10106102541
115498a456
122b649b25
1318c9c38c
141013d16d
1594acbcb
hex652ff0d

106102541 has 2 divisors, whose sum is σ = 106102542. Its totient is φ = 106102540.

The previous prime is 106102523. The next prime is 106102567. The reversal of 106102541 is 145201601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75255625 + 30846916 = 8675^2 + 5554^2 .

It is an emirp because it is prime and its reverse (145201601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106102541 - 214 = 106086157 is a prime.

It is a super-2 number, since 2×1061025412 = 22515498413313362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106102511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53051270 + 53051271.

It is an arithmetic number, because the mean of its divisors is an integer number (53051271).

Almost surely, 2106102541 is an apocalyptic number.

It is an amenable number.

106102541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106102541 is an equidigital number, since it uses as much as digits as its factorization.

106102541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 106102541 is about 10300.6087684175. The cubic root of 106102541 is about 473.4149062061.

The spelling of 106102541 in words is "one hundred six million, one hundred two thousand, five hundred forty-one".