100687228240 has 20 divisors (see below), whose sum is σ = 234097805844. Its totient is φ = 40274891264.

The previous prime is 100687228183. The next prime is 100687228241. The reversal of 100687228240 is 42822786001.

It can be written as a sum of positive squares in 2 ways, for example, as 44054651664 + 56632576576 = 209892^2 + 237976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 100687228193 and 100687228202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100687228241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629295097 + ... + 629295256.

Almost surely, 2^100687228240 is an apocalyptic number.

100687228240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100687228240 is an abundant number, since it is smaller than the sum of its proper divisors (133410577604).

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

100687228240 is a wasteful number, since it uses less digits than its factorization.

100687228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258590366 (or 1258590360 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 100687228240 in words is "one hundred billion, six hundred eighty-seven million, two hundred twenty-eight thousand, two hundred forty".