101431200 has 144 divisors (see below), whose sum is σ = 355664736. Its totient is φ = 24960000.

The previous prime is 101431193. The next prime is 101431201. The reversal of 101431200 is 2134101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101431201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29575 + ... + 32825.

It is an arithmetic number, because the mean of its divisors is an integer number (2469894).

Almost surely, 2^101431200 is an apocalyptic number.

101431200 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 101431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177832368).

101431200 is an abundant number, since it is smaller than the sum of its proper divisors (254233536).

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

101431200 is a wasteful number, since it uses less digits than its factorization.

101431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101431200 is about 10071.3057743274. The cubic root of 101431200 is about 466.3627499630.

Adding to 101431200 its reverse (2134101), we get a palindrome (103565301).

The spelling of 101431200 in words is "one hundred one million, four hundred thirty-one thousand, two hundred".