103754480438832 has 160 divisors (see below), whose sum is σ = 287008370288640. Its totient is φ = 32182380257280.

The previous prime is 103754480438809. The next prime is 103754480438857. The reversal of 103754480438832 is 238834084457301.

It is a super-2 number, since 2×103754480438832² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207766793 + ... + 1207852695.

It is an arithmetic number, because the mean of its divisors is an integer number (1793802314304).

Almost surely, 2^{103754480438832} is an apocalyptic number.

103754480438832 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 103754480438832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143504185144320).

103754480438832 is an abundant number, since it is smaller than the sum of its proper divisors (183253889849808).

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

103754480438832 is a wasteful number, since it uses less digits than its factorization.

103754480438832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102651 (or 102645 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 103754480438832 in words is "one hundred three trillion, seven hundred fifty-four billion, four hundred eighty million, four hundred thirty-eight thousand, eight hundred thirty-two".