100602411552 has 144 divisors (see below), whose sum is σ = 294119705880. Its totient is φ = 32594558976.

The previous prime is 100602411551. The next prime is 100602411583. The reversal of 100602411552 is 255114206001.

100602411552 is a `hidden beast` number, since 1 + 0 + 0 + 602 + 4 + 1 + 1 + 5 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97471337616 + 3131073936 = 312204^2 + 55956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (100602411551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11813248 + ... + 11821760.

Almost surely, 2^100602411552 is an apocalyptic number.

100602411552 is a gapful number since it is divisible by the number (12) 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 100602411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059852940).

100602411552 is an abundant number, since it is smaller than the sum of its proper divisors (193517294328).

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

100602411552 is a wasteful number, since it uses less digits than its factorization.

100602411552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100602411552 its reverse (255114206001), we get a palindrome (355716617553).

The spelling of 100602411552 in words is "one hundred billion, six hundred two million, four hundred eleven thousand, five hundred fifty-two".