103201140 has 192 divisors, whose sum is σ = 352396800. Its totient is φ = 22063104.

The previous prime is 103201129. The next prime is 103201151. The reversal of 103201140 is 41102301.

103201140 = T₁₁₃ + T₁₁₄ + ... + T₈₅₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103201129) and next prime (103201151).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450546 + ... + 450774.

It is an arithmetic number, because the mean of its divisors is an integer number (1835400).

Almost surely, 2^103201140 is an apocalyptic number.

103201140 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 103201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198400).

103201140 is an abundant number, since it is smaller than the sum of its proper divisors (249195660).

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

103201140 is a wasteful number, since it uses less digits than its factorization.

103201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103201140 is about 10158.7961885255. The cubic root of 103201140 is about 469.0597469206.

Adding to 103201140 its reverse (41102301), we get a palindrome (144303441).

The spelling of 103201140 in words is "one hundred three million, two hundred one thousand, one hundred forty".