103414133100 has 72 divisors (see below), whose sum is σ = 316812253968. Its totient is φ = 25954918400.

The previous prime is 103414133063. The next prime is 103414133101. The reversal of 103414133100 is 1331414301.

It is a super-2 number, since 2×103414133100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103414133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10133541 + ... + 10143740.

It is an arithmetic number, because the mean of its divisors is an integer number (4400170194).

Almost surely, 2^103414133100 is an apocalyptic number.

103414133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103414133100 is an abundant number, since it is smaller than the sum of its proper divisors (213398120868).

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

103414133100 is a wasteful number, since it uses less digits than its factorization.

103414133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277315 (or 20277308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103414133100 its reverse (1331414301), we get a palindrome (104745547401).

The spelling of 103414133100 in words is "one hundred three billion, four hundred fourteen million, one hundred thirty-three thousand, one hundred".