103040142432 has 96 divisors (see below), whose sum is σ = 276364472832. Its totient is φ = 33600213504.

The previous prime is 103040142427. The next prime is 103040142449. The reversal of 103040142432 is 234241040301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×103040142432³ (a number of 34 digits) contains 333 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13338123 + ... + 13345845.

It is an arithmetic number, because the mean of its divisors is an integer number (2878796592).

Almost surely, 2^103040142432 is an apocalyptic number.

103040142432 is a gapful number since it is divisible by the number (12) 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 103040142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138182236416).

103040142432 is an abundant number, since it is smaller than the sum of its proper divisors (173324330400).

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

103040142432 is a wasteful number, since it uses less digits than its factorization.

103040142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103040142432 its reverse (234241040301), we get a palindrome (337281182733).

The spelling of 103040142432 in words is "one hundred three billion, forty million, one hundred forty-two thousand, four hundred thirty-two".