103002041400 has 96 divisors (see below), whose sum is σ = 319804114560. Its totient is φ = 27424391040.

The previous prime is 103002041377. The next prime is 103002041419. The reversal of 103002041400 is 4140200301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103002041400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252309 + ... + 519291.

It is an arithmetic number, because the mean of its divisors is an integer number (3331292860).

Almost surely, 2^103002041400 is an apocalyptic number.

103002041400 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 103002041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159902057280).

103002041400 is an abundant number, since it is smaller than the sum of its proper divisors (216802073160).

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

103002041400 is a wasteful number, since it uses less digits than its factorization.

103002041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267645 (or 267636 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103002041400 its reverse (4140200301), we get a palindrome (107142241701).

The spelling of 103002041400 in words is "one hundred three billion, two million, forty-one thousand, four hundred".