103014791880 has 1024 divisors, whose sum is σ = 447091384320. Its totient is φ = 18269798400.

The previous prime is 103014791861. The next prime is 103014791881. The reversal of 103014791880 is 88197410301.

103014791880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103014791880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103014791881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124564027 + ... + 124564853.

It is an arithmetic number, because the mean of its divisors is an integer number (436612680).

Almost surely, 2^103014791880 is an apocalyptic number.

103014791880 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 103014791880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223545692160).

103014791880 is an abundant number, since it is smaller than the sum of its proper divisors (344076592440).

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

103014791880 is a wasteful number, since it uses less digits than its factorization.

103014791880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 103014791880 in words is "one hundred three billion, fourteen million, seven hundred ninety-one thousand, eight hundred eighty".