105380040 has 32 divisors (see below), whose sum is σ = 316140480. Its totient is φ = 28101312.

The previous prime is 105380039. The next prime is 105380047. The reversal of 105380040 is 40083501.

It is a super-2 number, since 2×105380040² = 22209905660803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105379989 and 105380016.

It is not an unprimeable number, because it can be changed into a prime (105380047) 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, 438964 + ... + 439203.

It is an arithmetic number, because the mean of its divisors is an integer number (9879390).

Almost surely, 2^105380040 is an apocalyptic number.

105380040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105380040 is an abundant number, since it is smaller than the sum of its proper divisors (210760440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105380040 is a wasteful number, since it uses less digits than its factorization.

105380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878181 (or 878177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105380040 is about 10265.4780697248. The cubic root of 105380040 is about 472.3378912549.

The spelling of 105380040 in words is "one hundred five million, three hundred eighty thousand, forty".