103508552160 has 1008 divisors, whose sum is σ = 408278782800. Its totient is φ = 24765751296.

The previous prime is 103508552111. The next prime is 103508552179. The reversal of 103508552160 is 61255805301.

It is a happy number.

103508552160 is a `hidden beast` number, since 1 + 0 + 3 + 50 + 85 + 521 + 6 + 0 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1163017396 + ... + 1163017484.

It is an arithmetic number, because the mean of its divisors is an integer number (405038475).

Almost surely, 2^103508552160 is an apocalyptic number.

103508552160 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 103508552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204139391400).

103508552160 is an abundant number, since it is smaller than the sum of its proper divisors (304770230640).

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

103508552160 is an equidigital number, since it uses as much as digits as its factorization.

103508552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 103508552160 in words is "one hundred three billion, five hundred eight million, five hundred fifty-two thousand, one hundred sixty".