103730403700 has 288 divisors, whose sum is σ = 287009630208. Its totient is φ = 31606080000.

The previous prime is 103730403697. The next prime is 103730403731. The reversal of 103730403700 is 7304037301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64548297 + ... + 64549903.

It is an arithmetic number, because the mean of its divisors is an integer number (996561216).

Almost surely, 2^103730403700 is an apocalyptic number.

103730403700 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 103730403700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143504815104).

103730403700 is an abundant number, since it is smaller than the sum of its proper divisors (183279226508).

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

103730403700 is a wasteful number, since it uses less digits than its factorization.

103730403700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The spelling of 103730403700 in words is "one hundred three billion, seven hundred thirty million, four hundred three thousand, seven hundred".