105369480 has 48 divisors (see below), whose sum is σ = 342451980. Its totient is φ = 28098432.

The previous prime is 105369431. The next prime is 105369521. The reversal of 105369480 is 84963501.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 4848804 = 10026^2 + 2202^2 .

It is a super-2 number, since 2×105369480² = 22205454630940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145987 + ... + 146706.

Almost surely, 2^105369480 is an apocalyptic number.

105369480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105369480 is an abundant number, since it is smaller than the sum of its proper divisors (237082500).

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

105369480 is a wasteful number, since it uses less digits than its factorization.

105369480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292710 (or 292703 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105369480 is about 10264.9637115774. The cubic root of 105369480 is about 472.3221132677.

The spelling of 105369480 in words is "one hundred five million, three hundred sixty-nine thousand, four hundred eighty".