100062874848 has 192 divisors, whose sum is σ = 279193969152. Its totient is φ = 31313018880.

The previous prime is 100062874823. The next prime is 100062874859. The reversal of 100062874848 is 848478260001.

It is a super-2 number, since 2×100062874848² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 100062874797 and 100062874806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46302888 + ... + 46305048.

It is an arithmetic number, because the mean of its divisors is an integer number (1454135256).

Almost surely, 2^100062874848 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 100062874848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139596984576).

100062874848 is an abundant number, since it is smaller than the sum of its proper divisors (179131094304).

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

100062874848 is a wasteful number, since it uses less digits than its factorization.

100062874848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 100062874848 in words is "one hundred billion, sixty-two million, eight hundred seventy-four thousand, eight hundred forty-eight".