102100143040 has 112 divisors (see below), whose sum is σ = 280408075200. Its totient is φ = 34684526592.

The previous prime is 102100143011. The next prime is 102100143059. The reversal of 102100143040 is 40341001201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 35076 + ... + 453244.

Almost surely, 2^102100143040 is an apocalyptic number.

102100143040 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 102100143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140204037600).

102100143040 is an abundant number, since it is smaller than the sum of its proper divisors (178307932160).

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

102100143040 is a wasteful number, since it uses less digits than its factorization.

102100143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418302 (or 418292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102100143040 its reverse (40341001201), we get a palindrome (142441144241).

The spelling of 102100143040 in words is "one hundred two billion, one hundred million, one hundred forty-three thousand, forty".