103167060480 has 640 divisors, whose sum is σ = 408419573760. Its totient is φ = 24469585920.

The previous prime is 103167060473. The next prime is 103167060497. The reversal of 103167060480 is 84060761301.

103167060480 is a `hidden beast` number, since 10 + 3 + 167 + 0 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35733597 + ... + 35736483.

It is an arithmetic number, because the mean of its divisors is an integer number (638155584).

Almost surely, 2^103167060480 is an apocalyptic number.

103167060480 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 103167060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204209786880).

103167060480 is an abundant number, since it is smaller than the sum of its proper divisors (305252513280).

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

103167060480 is a wasteful number, since it uses less digits than its factorization.

103167060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 103167060480 in words is "one hundred three billion, one hundred sixty-seven million, sixty thousand, four hundred eighty".