103014925089552 has 480 divisors, whose sum is σ = 367371654923520. Its totient is φ = 26233183272960.

The previous prime is 103014925089487. The next prime is 103014925089577. The reversal of 103014925089552 is 255980529410301.

103014925089552 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 4 + 9 + 2 + 5 + 0 + 89 + 552 = 666.

It is a super-2 number, since 2×103014925089552² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 844178302 + ... + 844300322.

It is an arithmetic number, because the mean of its divisors is an integer number (765357614424).

Almost surely, 2^{103014925089552} is an apocalyptic number.

103014925089552 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 103014925089552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183685827461760).

103014925089552 is an abundant number, since it is smaller than the sum of its proper divisors (264356729833968).

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

103014925089552 is a wasteful number, since it uses less digits than its factorization.

103014925089552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124671 (or 124662 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 103014925089552 in words is "one hundred three trillion, fourteen billion, nine hundred twenty-five million, eighty-nine thousand, five hundred fifty-two".