103257730400 has 144 divisors (see below), whose sum is σ = 275601454128. Its totient is φ = 37465344000.

The previous prime is 103257730349. The next prime is 103257730447. The reversal of 103257730400 is 4037752301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4044074 + ... + 4069526.

It is an arithmetic number, because the mean of its divisors is an integer number (1913898987).

Almost surely, 2^103257730400 is an apocalyptic number.

103257730400 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 103257730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137800727064).

103257730400 is an abundant number, since it is smaller than the sum of its proper divisors (172343723728).

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

103257730400 is a wasteful number, since it uses less digits than its factorization.

103257730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25945 (or 25932 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The spelling of 103257730400 in words is "one hundred three billion, two hundred fifty-seven million, seven hundred thirty thousand, four hundred".