42077100 has 72 divisors (see below), whose sum is σ = 131120080. Its totient is φ = 10356480.

The previous prime is 42077083. The next prime is 42077117. The reversal of 42077100 is 177024.

It is an interprime number because it is at equal distance from previous prime (42077083) and next prime (42077117).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495 + ... + 9294.

Almost surely, 2^42077100 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 42077100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65560040).

42077100 is an abundant number, since it is smaller than the sum of its proper divisors (89042980).

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

42077100 is a wasteful number, since it uses less digits than its factorization.

42077100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 42077100 is about 6486.6863651636. The cubic root of 42077100 is about 347.8152341949.

The spelling of 42077100 in words is "forty-two million, seventy-seven thousand, one hundred".