103541400 has 288 divisors, whose sum is σ = 377788320. Its totient is φ = 25344000.

The previous prime is 103541387. The next prime is 103541411. The reversal of 103541400 is 4145301.

103541400 = 296² + 297² + ... + 695².

It is a happy number.

It is a super-3 number, since 3×103541400³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1697370 + ... + 1697430.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 2^103541400 is an apocalyptic number.

103541400 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 103541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

103541400 is an abundant number, since it is smaller than the sum of its proper divisors (274246920).

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

103541400 is a wasteful number, since it uses less digits than its factorization.

103541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103541400 is about 10175.5294702536. The cubic root of 103541400 is about 469.5746869176.

Adding to 103541400 its reverse (4145301), we get a palindrome (107686701).

The spelling of 103541400 in words is "one hundred three million, five hundred forty-one thousand, four hundred".