42692100 has 144 divisors (see below), whose sum is σ = 142865856. Its totient is φ = 9728000.

The previous prime is 42692099. The next prime is 42692101. The reversal of 42692100 is 129624.

It is an interprime number because it is at equal distance from previous prime (42692099) and next prime (42692101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42692101) 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 47 ways as a sum of consecutive naturals, for example, 55720 + ... + 56480.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^42692100 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 42692100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71432928).

42692100 is an abundant number, since it is smaller than the sum of its proper divisors (100173756).

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

42692100 is a wasteful number, since it uses less digits than its factorization.

42692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42692100 is about 6533.9191914195. The cubic root of 42692100 is about 349.5016035506.

The spelling of 42692100 in words is "forty-two million, six hundred ninety-two thousand, one hundred".