42950100 has 72 divisors (see below), whose sum is σ = 126359968. Its totient is φ = 11260800.

The previous prime is 42950071. The next prime is 42950107. The reversal of 42950100 is 105924.

It is a super-2 number, since 2×42950100² = 3689422180020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42950107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127 + ... + 19473.

Almost surely, 2^42950100 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 42950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63179984).

42950100 is an abundant number, since it is smaller than the sum of its proper divisors (83409868).

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

42950100 is a wasteful number, since it uses less digits than its factorization.

42950100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 42950100 is about 6553.6325804854. The cubic root of 42950100 is about 350.2042345419.

The spelling of 42950100 in words is "forty-two million, nine hundred fifty thousand, one hundred".