100142250516 has 576 divisors, whose sum is σ = 349132492800. Its totient is φ = 23467656960.

The previous prime is 100142250503. The next prime is 100142250541. The reversal of 100142250516 is 615052241001.

100142250516 is a `hidden beast` number, since 1 + 0 + 0 + 142 + 2 + 5 + 0 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100142250516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437302290 + ... + 437302518.

It is an arithmetic number, because the mean of its divisors is an integer number (606132800).

Almost surely, 2^100142250516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142250516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174566246400).

100142250516 is an abundant number, since it is smaller than the sum of its proper divisors (248990242284).

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

100142250516 is a wasteful number, since it uses less digits than its factorization.

100142250516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 294 counting only the distinct ones).

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

Adding to 100142250516 its reverse (615052241001), we get a palindrome (715194491517).

The spelling of 100142250516 in words is "one hundred billion, one hundred forty-two million, two hundred fifty thousand, five hundred sixteen".