103145102100 has 108 divisors (see below), whose sum is σ = 324532624416. Its totient is φ = 27400714560.

The previous prime is 103145102087. The next prime is 103145102101. The reversal of 103145102100 is 1201541301.

103145102100 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 451 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103145102101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18819 + ... + 454581.

Almost surely, 2^103145102100 is an apocalyptic number.

103145102100 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 103145102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162266312208).

103145102100 is an abundant number, since it is smaller than the sum of its proper divisors (221387522316).

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

103145102100 is a wasteful number, since it uses less digits than its factorization.

103145102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436046 (or 436036 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 103145102100 its reverse (1201541301), we get a palindrome (104346643401).

The spelling of 103145102100 in words is "one hundred three billion, one hundred forty-five million, one hundred two thousand, one hundred".