105508380 has 48 divisors (see below), whose sum is σ = 305615520. Its totient is φ = 27164928.

The previous prime is 105508327. The next prime is 105508399. The reversal of 105508380 is 83805501.

It is a happy number.

It is a super-2 number, since 2×105508380² = 22264036500448800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28579 + ... + 32058.

It is an arithmetic number, because the mean of its divisors is an integer number (6366990).

Almost surely, 2^105508380 is an apocalyptic number.

105508380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105508380 is an abundant number, since it is smaller than the sum of its proper divisors (200107140).

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

105508380 is a wasteful number, since it uses less digits than its factorization.

105508380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60678 (or 60676 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105508380 is about 10271.7272160041. The cubic root of 105508380 is about 472.5295633920.

The spelling of 105508380 in words is "one hundred five million, five hundred eight thousand, three hundred eighty".