103030472664 has 320 divisors, whose sum is σ = 362265868800. Its totient is φ = 26674914816.

The previous prime is 103030472659. The next prime is 103030472771. The reversal of 103030472664 is 466274030301.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1956244 + ... + 2008220.

It is an arithmetic number, because the mean of its divisors is an integer number (1132080840).

Almost surely, 2^103030472664 is an apocalyptic number.

103030472664 is a gapful number since it is divisible by the number (14) 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 103030472664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181132934400).

103030472664 is an abundant number, since it is smaller than the sum of its proper divisors (259235396136).

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

103030472664 is a wasteful number, since it uses less digits than its factorization.

103030472664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52044 (or 52031 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 103030472664 in words is "one hundred three billion, thirty million, four hundred seventy-two thousand, six hundred sixty-four".