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105913037 is a prime number
BaseRepresentation
bin1100101000000…
…01101011001101
321101021221101002
412110001223031
5204103204122
614302030045
72424150236
oct624015315
9241257332
10105913037
115487003a
122b578325
1318c34049
14100d008d
159471992
hex6501acd

105913037 has 2 divisors, whose sum is σ = 105913038. Its totient is φ = 105913036.

The previous prime is 105913021. The next prime is 105913051. The reversal of 105913037 is 730319501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94750756 + 11162281 = 9734^2 + 3341^2 .

It is a cyclic number.

It is not a de Polignac number, because 105913037 - 24 = 105913021 is a prime.

It is a super-2 number, since 2×1059130372 = 22435142813126738, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105913007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52956518 + 52956519.

It is an arithmetic number, because the mean of its divisors is an integer number (52956519).

Almost surely, 2105913037 is an apocalyptic number.

It is an amenable number.

105913037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105913037 is an equidigital number, since it uses as much as digits as its factorization.

105913037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 105913037 is about 10291.4059778050. The cubic root of 105913037 is about 473.1328913372.

The spelling of 105913037 in words is "one hundred five million, nine hundred thirteen thousand, thirty-seven".