103190400 has 144 divisors (see below), whose sum is σ = 368309760. Its totient is φ = 27509760.

The previous prime is 103190393. The next prime is 103190431. The reversal of 103190400 is 4091301.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27009 + ... + 30591.

Almost surely, 2^103190400 is an apocalyptic number.

103190400 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 103190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

103190400 is an abundant number, since it is smaller than the sum of its proper divisors (265119360).

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

103190400 is a wasteful number, since it uses less digits than its factorization.

103190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103190400 is about 10158.2675688328. The cubic root of 103190400 is about 469.0434748896.

Subtracting from 103190400 its reverse (4091301), we obtain a palindrome (99099099).

The spelling of 103190400 in words is "one hundred three million, one hundred ninety thousand, four hundred".