101440145400 has 192 divisors, whose sum is σ = 343826208000. Its totient is φ = 24536064000.

The previous prime is 101440145381. The next prime is 101440145419. The reversal of 101440145400 is 4541044101.

It is an interprime number because it is at equal distance from previous prime (101440145381) and next prime (101440145419).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2946285 + ... + 2980515.

It is an arithmetic number, because the mean of its divisors is an integer number (1790761500).

Almost surely, 2^101440145400 is an apocalyptic number.

101440145400 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 101440145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171913104000).

101440145400 is an abundant number, since it is smaller than the sum of its proper divisors (242386062600).

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

101440145400 is a wasteful number, since it uses less digits than its factorization.

101440145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34710 (or 34701 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 101440145400 its reverse (4541044101), we get a palindrome (105981189501).

The spelling of 101440145400 in words is "one hundred one billion, four hundred forty million, one hundred forty-five thousand, four hundred".