103015364100 has 288 divisors, whose sum is σ = 347708495232. Its totient is φ = 23270400000.

The previous prime is 103015364093. The next prime is 103015364113. The reversal of 103015364100 is 1463510301.

103015364100 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 2×103015364100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5657010 + ... + 5675190.

It is an arithmetic number, because the mean of its divisors is an integer number (1207321164).

Almost surely, 2^103015364100 is an apocalyptic number.

103015364100 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 103015364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173854247616).

103015364100 is an abundant number, since it is smaller than the sum of its proper divisors (244693131132).

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

103015364100 is a wasteful number, since it uses less digits than its factorization.

103015364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 103015364100 its reverse (1463510301), we get a palindrome (104478874401).

The spelling of 103015364100 in words is "one hundred three billion, fifteen million, three hundred sixty-four thousand, one hundred".