42767100 has 216 divisors, whose sum is σ = 146917680. Its totient is φ = 10368000.

The previous prime is 42767093. The next prime is 42767107. The reversal of 42767100 is 176724.

42767100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42767093) and next prime (42767107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42767107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701070 + ... + 701130.

Almost surely, 2^42767100 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 42767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

42767100 is an abundant number, since it is smaller than the sum of its proper divisors (104150580).

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

42767100 is a wasteful number, since it uses less digits than its factorization.

42767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 42767100 is about 6539.6559542533. The cubic root of 42767100 is about 349.7061479153.

The spelling of 42767100 in words is "forty-two million, seven hundred sixty-seven thousand, one hundred".