42106400 has 144 divisors (see below), whose sum is σ = 120242304. Its totient is φ = 14100480.

The previous prime is 42106397. The next prime is 42106403. The reversal of 42106400 is 460124.

42106400 = T₃₀₅ + T₃₀₆ + ... + T₆₅₄.

It is an interprime number because it is at equal distance from previous prime (42106397) and next prime (42106403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106403) 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, 408749 + ... + 408851.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 2^42106400 is an apocalyptic number.

42106400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121152).

42106400 is an abundant number, since it is smaller than the sum of its proper divisors (78135904).

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

42106400 is a wasteful number, since it uses less digits than its factorization.

42106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42106400 is about 6488.9444442066. The cubic root of 42106400 is about 347.8959481051.

Adding to 42106400 its reverse (460124), we get a palindrome (42566524).

The spelling of 42106400 in words is "forty-two million, one hundred six thousand, four hundred".