101203600 has 45 divisors (see below), whose sum is σ = 243625993. Its totient is φ = 40400960.

The previous prime is 101203589. The next prime is 101203607. The reversal of 101203600 is 6302101.

The square root of 101203600 is 10060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 64770304 = 6036^2 + 8048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101203607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200949 + ... + 201451.

Almost surely, 2^101203600 is an apocalyptic number.

101203600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101203600 is the 10060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203600

101203600 is an abundant number, since it is smaller than the sum of its proper divisors (142422393).

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

101203600 is an frugal number, since it uses more digits than its factorization.

101203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 101203600 is about 466.0136671930.

Multiplying 101203600 by its product of nonzero digits (36), we get a square (3643329600 = 60360²).

Adding to 101203600 its reverse (6302101), we get a palindrome (107505701).

The spelling of 101203600 in words is "one hundred one million, two hundred three thousand, six hundred".