87226820100 has 432 divisors, whose sum is σ = 322027305600. Its totient is φ = 19334246400.

The previous prime is 87226820099. The next prime is 87226820101. The reversal of 87226820100 is 102862278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87226820099) and next prime (87226820101).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87226820101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 40363020 + ... + 40365180.

Almost surely, 2^87226820100 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 87226820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161013652800).

87226820100 is an abundant number, since it is smaller than the sum of its proper divisors (234800485500).

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

87226820100 is a wasteful number, since it uses less digits than its factorization.

87226820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 87226820100 in words is "eighty-seven billion, two hundred twenty-six million, eight hundred twenty thousand, one hundred".