103412332440100 has 72 divisors (see below), whose sum is σ = 227482741188360. Its totient is φ = 40797583073280.

The previous prime is 103412332440077. The next prime is 103412332440191. The reversal of 103412332440100 is 1044233214301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 51126475477284 + 52285856962816 = 7150278^2 + 7230896^2 .

It is a super-2 number, since 2×103412332440100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677020536 + ... + 677173264.

It is an arithmetic number, because the mean of its divisors is an integer number (3159482516505).

Almost surely, 2^{103412332440100} is an apocalyptic number.

103412332440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103412332440100 is an abundant number, since it is smaller than the sum of its proper divisors (124070408748260).

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

103412332440100 is a wasteful number, since it uses less digits than its factorization.

103412332440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245569 (or 245562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103412332440100 its reverse (1044233214301), we get a palindrome (104456565654401).

The spelling of 103412332440100 in words is "one hundred three trillion, four hundred twelve billion, three hundred thirty-two million, four hundred forty thousand, one hundred".