103201700 has 72 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 35199360.

The previous prime is 103201687. The next prime is 103201717. The reversal of 103201700 is 7102301.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 265106 + ... + 265494.

Almost surely, 2^103201700 is an apocalyptic number.

103201700 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 103201700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

103201700 is an abundant number, since it is smaller than the sum of its proper divisors (154073500).

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

103201700 is a wasteful number, since it uses less digits than its factorization.

103201700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 103201700 is about 10158.8237508089. The cubic root of 103201700 is about 469.0605953382.

The spelling of 103201700 in words is "one hundred three million, two hundred one thousand, seven hundred".