42101007 has 32 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 24744960.

The previous prime is 42100997. The next prime is 42101021. The reversal of 42101007 is 70010124.

It is not a de Polignac number, because 42101007 - 2⁶ = 42100943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117094 + ... + 117452.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^42101007 is an apocalyptic number.

42101007 is a deficient number, since it is larger than the sum of its proper divisors (21120753).

42101007 is a wasteful number, since it uses less digits than its factorization.

42101007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 42101007 is about 6488.5288779507. The cubic root of 42101007 is about 347.8810945994.

The spelling of 42101007 in words is "forty-two million, one hundred one thousand, seven".