106251603200 has 108 divisors (see below), whose sum is σ = 264141388140. Its totient is φ = 42314465280.

The previous prime is 106251603193. The next prime is 106251603251. The reversal of 106251603200 is 2306152601.

106251603200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 111175936 + 106140427264 = 10544^2 + 325792^2 .

It is a super-2 number, since 2×106251603200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106251603200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429352 + ... + 1501848.

Almost surely, 2^106251603200 is an apocalyptic number.

106251603200 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 106251603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132070694070).

106251603200 is an abundant number, since it is smaller than the sum of its proper divisors (157889784940).

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

106251603200 is an equidigital number, since it uses as much as digits as its factorization.

106251603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72752 (or 72733 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 106251603200 its reverse (2306152601), we get a palindrome (108557755801).

The spelling of 106251603200 in words is "one hundred six billion, two hundred fifty-one million, six hundred three thousand, two hundred".