103354400 has 36 divisors (see below), whose sum is σ = 252315882. Its totient is φ = 41341440.

The previous prime is 103354397. The next prime is 103354429. The reversal of 103354400 is 4453301.

It can be written as a sum of positive squares in 3 ways, for example, as 73891216 + 29463184 = 8596^2 + 5428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63797 + ... + 65396.

Almost surely, 2^103354400 is an apocalyptic number.

103354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103354400 is an abundant number, since it is smaller than the sum of its proper divisors (148961482).

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

103354400 is a wasteful number, since it uses less digits than its factorization.

103354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129213 (or 129200 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 103354400 is about 10166.3366066642. The cubic root of 103354400 is about 469.2918262047.

The spelling of 103354400 in words is "one hundred three million, three hundred fifty-four thousand, four hundred".