101400330 has 64 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 25709376.

The previous prime is 101400329. The next prime is 101400337. The reversal of 101400330 is 33004101.

It is not an unprimeable number, because it can be changed into a prime (101400337) 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 31 ways as a sum of consecutive naturals, for example, 153541 + ... + 154199.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^101400330 is an apocalyptic number.

101400330 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 101400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

101400330 is an abundant number, since it is smaller than the sum of its proper divisors (154067190).

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

101400330 is a wasteful number, since it uses less digits than its factorization.

101400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101400330 is about 10069.7730858247. The cubic root of 101400330 is about 466.3154335592.

Adding to 101400330 its reverse (33004101), we get a palindrome (134404431).

The spelling of 101400330 in words is "one hundred one million, four hundred thousand, three hundred thirty".