103811400 has 432 divisors, whose sum is σ = 446556240. Its totient is φ = 21369600.

The previous prime is 103811371. The next prime is 103811431. The reversal of 103811400 is 4118301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970147 + ... + 970253.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 2^103811400 is an apocalyptic number.

103811400 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 103811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223278120).

103811400 is an abundant number, since it is smaller than the sum of its proper divisors (342744840).

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

103811400 is a wasteful number, since it uses less digits than its factorization.

103811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 103811400 is about 10188.7879553949. The cubic root of 103811400 is about 469.9824951984.

Adding to 103811400 its reverse (4118301), we get a palindrome (107929701).

It can be divided in two parts, 10381 and 1400, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 103811400 in words is "one hundred three million, eight hundred eleven thousand, four hundred".