103432410100 has 36 divisors (see below), whose sum is σ = 224488280268. Its totient is φ = 41365600000.

The previous prime is 103432410031. The next prime is 103432410149. The reversal of 103432410100 is 1014234301.

It can be written as a sum of positive squares in 6 ways, for example, as 11261878884 + 92170531216 = 106122^2 + 303596^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490950 + ... + 669250.

It is an arithmetic number, because the mean of its divisors is an integer number (6235785563).

Almost surely, 2^103432410100 is an apocalyptic number.

103432410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103432410100 is an abundant number, since it is smaller than the sum of its proper divisors (121055870168).

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

103432410100 is a wasteful number, since it uses less digits than its factorization.

103432410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184116 (or 184109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103432410100 its reverse (1014234301), we get a palindrome (104446644401).

The spelling of 103432410100 in words is "one hundred three billion, four hundred thirty-two million, four hundred ten thousand, one hundred".