42510412100 has 72 divisors (see below), whose sum is σ = 99931911240. Its totient is φ = 15696071040.

The previous prime is 42510412093. The next prime is 42510412103. The reversal of 42510412100 is 121401524.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 41756470336 + 753941764 = 204344^2 + 27458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42510412103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122954 + ... + 316446.

Almost surely, 2^42510412100 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 42510412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49965955620).

42510412100 is an abundant number, since it is smaller than the sum of its proper divisors (57421499140).

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

42510412100 is a wasteful number, since it uses less digits than its factorization.

42510412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193546 (or 193513 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 42510412100 its reverse (121401524), we get a palindrome (42631813624).

It can be divided in two parts, 425104 and 12100, that multiplied together give a square (5143758400 = 71720²).

The spelling of 42510412100 in words is "forty-two billion, five hundred ten million, four hundred twelve thousand, one hundred".