42253025100 has 432 divisors, whose sum is σ = 145475688960. Its totient is φ = 9385958400.

The previous prime is 42253025093. The next prime is 42253025107. The reversal of 42253025100 is 152035224.

It is an interprime number because it is at equal distance from previous prime (42253025093) and next prime (42253025107).

It is not an unprimeable number, because it can be changed into a prime (42253025107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133290142 + ... + 133290458.

It is an arithmetic number, because the mean of its divisors is an integer number (336749280).

Almost surely, 2^42253025100 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 42253025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72737844480).

42253025100 is an abundant number, since it is smaller than the sum of its proper divisors (103222663860).

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

42253025100 is a wasteful number, since it uses less digits than its factorization.

42253025100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 42253025100 in words is "forty-two billion, two hundred fifty-three million, twenty-five thousand, one hundred".