103372044480 has 1344 divisors, whose sum is σ = 418226565120. Its totient is φ = 24186470400.

The previous prime is 103372044473. The next prime is 103372044481. The reversal of 103372044480 is 84440273301.

103372044480 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 7 + 204 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103372044481) 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 191 ways as a sum of consecutive naturals, for example, 1694623650 + ... + 1694623710.

It is an arithmetic number, because the mean of its divisors is an integer number (311180480).

Almost surely, 2^103372044480 is an apocalyptic number.

103372044480 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 103372044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209113282560).

103372044480 is an abundant number, since it is smaller than the sum of its proper divisors (314854520640).

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

103372044480 is a wasteful number, since it uses less digits than its factorization.

103372044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 103372044480 in words is "one hundred three billion, three hundred seventy-two million, forty-four thousand, four hundred eighty".