100042110 has 96 divisors (see below), whose sum is σ = 314788032. Its totient is φ = 21519360.

The previous prime is 100042109. The next prime is 100042121. The reversal of 100042110 is 11240001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100042092 and 100042101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6040 + ... + 15380.

It is an arithmetic number, because the mean of its divisors is an integer number (3279042).

Almost surely, 2^100042110 is an apocalyptic number.

100042110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100042110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157394016).

100042110 is an abundant number, since it is smaller than the sum of its proper divisors (214745922).

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

100042110 is a wasteful number, since it uses less digits than its factorization.

100042110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100042110 is about 10002.1052783901. The cubic root of 100042110 is about 464.2240266534.

Adding to 100042110 its reverse (11240001), we get a palindrome (111282111).

The spelling of 100042110 in words is "one hundred million, forty-two thousand, one hundred ten".