103523312100 has 144 divisors (see below), whose sum is σ = 325701014912. Its totient is φ = 25235159040.

The previous prime is 103523312063. The next prime is 103523312117. The reversal of 103523312100 is 1213325301.

It is a super-3 number, since 3×103523312100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272844 + ... + 530556.

Almost surely, 2^103523312100 is an apocalyptic number.

103523312100 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 103523312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162850507456).

103523312100 is an abundant number, since it is smaller than the sum of its proper divisors (222177702812).

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

103523312100 is a wasteful number, since it uses less digits than its factorization.

103523312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257846 (or 257839 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 103523312100 its reverse (1213325301), we get a palindrome (104736637401).

The spelling of 103523312100 in words is "one hundred three billion, five hundred twenty-three million, three hundred twelve thousand, one hundred".