42196100 has 36 divisors (see below), whose sum is σ = 91856100. Its totient is φ = 16824960.

The previous prime is 42196097. The next prime is 42196103. The reversal of 42196100 is 169124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42196097) and next prime (42196103).

It can be written as a sum of positive squares in 6 ways, for example, as 179776 + 42016324 = 424^2 + 6482^2 .

It is not an unprimeable number, because it can be changed into a prime (42196103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50486 + ... + 51314.

Almost surely, 2^42196100 is an apocalyptic number.

It is an amenable number.

42196100 is an abundant number, since it is smaller than the sum of its proper divisors (49660000).

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

42196100 is a wasteful number, since it uses less digits than its factorization.

42196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 42196100 is about 6495.8525229565. The cubic root of 42196100 is about 348.1428158258.

The spelling of 42196100 in words is "forty-two million, one hundred ninety-six thousand, one hundred".