103981190940 has 288 divisors, whose sum is σ = 372465112320. Its totient is φ = 23880355200.

The previous prime is 103981190927. The next prime is 103981190947. The reversal of 103981190940 is 49091189301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103981190947) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2120095 + ... + 2168585.

It is an arithmetic number, because the mean of its divisors is an integer number (1293281640).

Almost surely, 2^103981190940 is an apocalyptic number.

103981190940 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 103981190940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186232556160).

103981190940 is an abundant number, since it is smaller than the sum of its proper divisors (268483921380).

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

103981190940 is a wasteful number, since it uses less digits than its factorization.

103981190940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48558 (or 48531 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 103981190940 in words is "one hundred three billion, nine hundred eighty-one million, one hundred ninety thousand, nine hundred forty".