105380415 has 24 divisors (see below), whose sum is σ = 208754208. Its totient is φ = 48173760.

The previous prime is 105380413. The next prime is 105380423. The reversal of 105380415 is 514083501.

It is not a de Polignac number, because 105380415 - 2¹ = 105380413 is a prime.

It is a super-2 number, since 2×105380415² = 22210063731144450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105380413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166956 + ... + 167585.

It is an arithmetic number, because the mean of its divisors is an integer number (8698092).

Almost surely, 2^105380415 is an apocalyptic number.

105380415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105380415 is a deficient number, since it is larger than the sum of its proper divisors (103373793).

105380415 is a wasteful number, since it uses less digits than its factorization.

105380415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334559 (or 334556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105380415 is about 10265.4963348101. The cubic root of 105380415 is about 472.3384515334.

The spelling of 105380415 in words is "one hundred five million, three hundred eighty thousand, four hundred fifteen".