42105384 has 48 divisors (see below), whose sum is σ = 114410400. Its totient is φ = 13989024.

The previous prime is 42105331. The next prime is 42105391. The reversal of 42105384 is 48350124.

42105384 = T₂₆₉ + T₂₇₀ + ... + T₆₄₇.

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, 26517 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (2383550).

Almost surely, 2^42105384 is an apocalyptic number.

It is an amenable number.

42105384 is an abundant number, since it is smaller than the sum of its proper divisors (72305016).

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

42105384 is a wasteful number, since it uses less digits than its factorization.

42105384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42105384 is about 6488.8661567334. The cubic root of 42105384 is about 347.8931499150.

The spelling of 42105384 in words is "forty-two million, one hundred five thousand, three hundred eighty-four".