103251373440 has 128 divisors (see below), whose sum is σ = 330552338400. Its totient is φ = 27413348352.

The previous prime is 103251373429. The next prime is 103251373441. The reversal of 103251373440 is 44373152301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103251373440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103251373441) 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 15 ways as a sum of consecutive naturals, for example, 322264 + ... + 557096.

Almost surely, 2^103251373440 is an apocalyptic number.

103251373440 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 103251373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165276169200).

103251373440 is an abundant number, since it is smaller than the sum of its proper divisors (227300964960).

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

103251373440 is a wasteful number, since it uses less digits than its factorization.

103251373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235084 (or 235072 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 103251373440 in words is "one hundred three billion, two hundred fifty-one million, three hundred seventy-three thousand, four hundred forty".