105380842 has 16 divisors (see below), whose sum is σ = 186481152. Its totient is φ = 43706160.

The previous prime is 105380837. The next prime is 105380843. The reversal of 105380842 is 248083501.

It is a super-2 number, since 2×105380842² = 22210243721257928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (105380843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120973 + ... + 121840.

It is an arithmetic number, because the mean of its divisors is an integer number (11655072).

Almost surely, 2^105380842 is an apocalyptic number.

105380842 is a deficient number, since it is larger than the sum of its proper divisors (81100310).

105380842 is a wasteful number, since it uses less digits than its factorization.

105380842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242853.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 105380842 is about 10265.5171326144. The cubic root of 105380842 is about 472.3390895021.

It can be divided in two parts, 1053808 and 42, that multiplied together give a triangular number (44259936 = T₉₄₀₈).

The spelling of 105380842 in words is "one hundred five million, three hundred eighty thousand, eight hundred forty-two".