105406380 has 48 divisors (see below), whose sum is σ = 327932640. Its totient is φ = 28108224.

The previous prime is 105406369. The next prime is 105406393. The reversal of 105406380 is 83604501.

It is a super-2 number, since 2×105406380² = 22221009889408800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 97059 + ... + 98138.

It is an arithmetic number, because the mean of its divisors is an integer number (6831930).

Almost surely, 2^105406380 is an apocalyptic number.

105406380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105406380 is an abundant number, since it is smaller than the sum of its proper divisors (222526260).

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

105406380 is a wasteful number, since it uses less digits than its factorization.

105406380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195215 (or 195207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105406380 is about 10266.7609303032. The cubic root of 105406380 is about 472.3772419821.

The spelling of 105406380 in words is "one hundred five million, four hundred six thousand, three hundred eighty".