103414102000 has 240 divisors, whose sum is σ = 277641104832. Its totient is φ = 37224000000.

The previous prime is 103414101997. The next prime is 103414102003. The reversal of 103414102000 is 201414301.

It is an interprime number because it is at equal distance from previous prime (103414101997) and next prime (103414102003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414102003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24439885 + ... + 24444115.

Almost surely, 2^103414102000 is an apocalyptic number.

103414102000 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 103414102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138820552416).

103414102000 is an abundant number, since it is smaller than the sum of its proper divisors (174227002832).

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

103414102000 is a wasteful number, since it uses less digits than its factorization.

103414102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103414102000 its reverse (201414301), we get a palindrome (103615516301).

The spelling of 103414102000 in words is "one hundred three billion, four hundred fourteen million, one hundred two thousand".