103542131040 has 96 divisors (see below), whose sum is σ = 326547728640. Its totient is φ = 27578217984.

The previous prime is 103542131029. The next prime is 103542131083. The reversal of 103542131040 is 40131245301.

It is a happy number.

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

It is a super-3 number, since 3×103542131040³ (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 self number, because there is not a number n which added to its sum of digits gives 103542131040.

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, 274167 + ... + 531273.

It is an arithmetic number, because the mean of its divisors is an integer number (3401538840).

Almost surely, 2^103542131040 is an apocalyptic number.

103542131040 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 103542131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163273864320).

103542131040 is an abundant number, since it is smaller than the sum of its proper divisors (223005597600).

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

103542131040 is a wasteful number, since it uses less digits than its factorization.

103542131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257964 (or 257956 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103542131040 its reverse (40131245301), we get a palindrome (143673376341).

The spelling of 103542131040 in words is "one hundred three billion, five hundred forty-two million, one hundred thirty-one thousand, forty".