42378100 has 18 divisors (see below), whose sum is σ = 91960694. Its totient is φ = 16951200.

The previous prime is 42378097. The next prime is 42378139. The reversal of 42378100 is 187324.

It can be written as a sum of positive squares in 3 ways, for example, as 3290596 + 39087504 = 1814^2 + 6252^2 .

It is a super-2 number, since 2×42378100² = 3591806719220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211791 + ... + 211990.

Almost surely, 2^42378100 is an apocalyptic number.

It is an amenable number.

42378100 is an abundant number, since it is smaller than the sum of its proper divisors (49582594).

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

42378100 is a wasteful number, since it uses less digits than its factorization.

42378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423795 (or 423788 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 42378100 is about 6509.8463883566. The cubic root of 42378100 is about 348.6426338390.

The spelling of 42378100 in words is "forty-two million, three hundred seventy-eight thousand, one hundred".