103557477160 has 64 divisors (see below), whose sum is σ = 236911867920. Its totient is φ = 40728821760.

The previous prime is 103557477131. The next prime is 103557477167. The reversal of 103557477160 is 61774755301.

It can be written as a sum of positive squares in 8 ways, for example, as 2810908324 + 100746568836 = 53018^2 + 317406^2 .

It is a super-3 number, since 3×103557477160³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103557477160.

It is not an unprimeable number, because it can be changed into a prime (103557477167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8428942 + ... + 8441218.

Almost surely, 2^103557477160 is an apocalyptic number.

103557477160 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 103557477160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118455933960).

103557477160 is an abundant number, since it is smaller than the sum of its proper divisors (133354390760).

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

103557477160 is a wasteful number, since it uses less digits than its factorization.

103557477160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15806 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 103557477160 in words is "one hundred three billion, five hundred fifty-seven million, four hundred seventy-seven thousand, one hundred sixty".