103132213100 has 72 divisors (see below), whose sum is σ = 256022134368. Its totient is φ = 35324467200.

The previous prime is 103132213099. The next prime is 103132213103. The reversal of 103132213100 is 1312231301.

103132213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103132213100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103132213103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636380 + ... + 781820.

Almost surely, 2^103132213100 is an apocalyptic number.

103132213100 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 103132213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128011067184).

103132213100 is an abundant number, since it is smaller than the sum of its proper divisors (152889921268).

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

103132213100 is a wasteful number, since it uses less digits than its factorization.

103132213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146475 (or 146468 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103132213100 its reverse (1312231301), we get a palindrome (104444444401).

The spelling of 103132213100 in words is "one hundred three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred".