103461300 has 180 divisors, whose sum is σ = 343126476. Its totient is φ = 26956800.

The previous prime is 103461283. The next prime is 103461301. The reversal of 103461300 is 3164301.

It can be written as a sum of positive squares in 6 ways, for example, as 1127844 + 102333456 = 1062^2 + 10116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103461301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 429180 + ... + 429420.

Almost surely, 2^103461300 is an apocalyptic number.

103461300 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 103461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171563238).

103461300 is an abundant number, since it is smaller than the sum of its proper divisors (239665176).

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

103461300 is a wasteful number, since it uses less digits than its factorization.

103461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103461300 is about 10171.5927956245. The cubic root of 103461300 is about 469.4535674564.

The spelling of 103461300 in words is "one hundred three million, four hundred sixty-one thousand, three hundred".