101344100 has 144 divisors (see below), whose sum is σ = 272690880. Its totient is φ = 32140800.

The previous prime is 101344099. The next prime is 101344127. The reversal of 101344100 is 1443101.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 271514 + ... + 271886.

Almost surely, 2^101344100 is an apocalyptic number.

101344100 is a gapful number since it is divisible by the number (10) 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 101344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136345440).

101344100 is an abundant number, since it is smaller than the sum of its proper divisors (171346780).

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

101344100 is a wasteful number, since it uses less digits than its factorization.

101344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101344100 is about 10066.9806794292. The cubic root of 101344100 is about 466.2292215941.

Adding to 101344100 its reverse (1443101), we get a palindrome (102787201).

Subtracting from 101344100 its reverse (1443101), we obtain a palindrome (99900999).

The spelling of 101344100 in words is "one hundred one million, three hundred forty-four thousand, one hundred".