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105380357 is a prime number
BaseRepresentation
bin1100100011111…
…11101000000101
321100021212200012
412101333220011
5203434132412
614242400005
72416501235
oct621775005
9240255605
10105380357
1154536905
122b360005
1318aa8754
14ddd1cc5
1593b8c22
hex647fa05

105380357 has 2 divisors, whose sum is σ = 105380358. Its totient is φ = 105380356.

The previous prime is 105380311. The next prime is 105380381. The reversal of 105380357 is 753083501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63984001 + 41396356 = 7999^2 + 6434^2 .

It is a cyclic number.

It is not a de Polignac number, because 105380357 - 26 = 105380293 is a prime.

It is a super-2 number, since 2×1053803572 = 22210039282894898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105380257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52690178 + 52690179.

It is an arithmetic number, because the mean of its divisors is an integer number (52690179).

Almost surely, 2105380357 is an apocalyptic number.

It is an amenable number.

105380357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105380357 is an equidigital number, since it uses as much as digits as its factorization.

105380357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 105380357 is about 10265.4935098124. The cubic root of 105380357 is about 472.3383648770.

The spelling of 105380357 in words is "one hundred five million, three hundred eighty thousand, three hundred fifty-seven".