103177100160 has 384 divisors, whose sum is σ = 382236472800. Its totient is φ = 26563977216.

The previous prime is 103177100153. The next prime is 103177100161. The reversal of 103177100160 is 61001771301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103177100161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498642 + ... + 4521518.

Almost surely, 2^103177100160 is an apocalyptic number.

103177100160 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 103177100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191118236400).

103177100160 is an abundant number, since it is smaller than the sum of its proper divisors (279059372640).

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

103177100160 is an equidigital number, since it uses as much as digits as its factorization.

103177100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22940 (or 22916 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 103177100160 its reverse (61001771301), we get a palindrome (164178871461).

The spelling of 103177100160 in words is "one hundred three billion, one hundred seventy-seven million, one hundred thousand, one hundred sixty".