105377424 has 80 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 32665600.

The previous prime is 105377383. The next prime is 105377449. The reversal of 105377424 is 424773501.

It is a super-2 number, since 2×105377424² = 22208802977751552, which contains 22 as substring.

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, 71899 + ... + 73349.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2^105377424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105377424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

105377424 is an abundant number, since it is smaller than the sum of its proper divisors (186300336).

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

105377424 is a wasteful number, since it uses less digits than its factorization.

105377424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 105377424 is about 10265.3506515852. The cubic root of 105377424 is about 472.3339827154. Note that the first 3 decimals are identical.

The spelling of 105377424 in words is "one hundred five million, three hundred seventy-seven thousand, four hundred twenty-four".