42100512 has 48 divisors (see below), whose sum is σ = 112402080. Its totient is φ = 13793792.

The previous prime is 42100501. The next prime is 42100519. The reversal of 42100512 is 21500124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42100512² = 3544906221324288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42100491 and 42100500.

It is not an unprimeable number, because it can be changed into a prime (42100519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1948 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 2^42100512 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 42100512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56201040).

42100512 is an abundant number, since it is smaller than the sum of its proper divisors (70301568).

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

42100512 is a wasteful number, since it uses less digits than its factorization.

42100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42100512 is about 6488.4907335990. The cubic root of 42100512 is about 347.8797311972.

Adding to 42100512 its reverse (21500124), we get a palindrome (63600636).

It can be divided in two parts, 4 and 2100512, that multiplied together give a palindrome (8402048).

The spelling of 42100512 in words is "forty-two million, one hundred thousand, five hundred twelve".