100366673440 has 144 divisors (see below), whose sum is σ = 263217570840. Its totient is φ = 36134912000.

The previous prime is 100366673431. The next prime is 100366673447. The reversal of 100366673440 is 44376663001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100167186064 + 199487376 = 316492^2 + 14124^2 .

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 = 100366673393 and 100366673402.

It is not an unprimeable number, because it can be changed into a prime (100366673447) 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, 1929696 + ... + 1981024.

Almost surely, 2^100366673440 is an apocalyptic number.

100366673440 is a gapful number since it is divisible by the number (10) 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 100366673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131608785420).

100366673440 is an abundant number, since it is smaller than the sum of its proper divisors (162850897400).

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

100366673440 is a wasteful number, since it uses less digits than its factorization.

100366673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51467 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 100366673440 in words is "one hundred billion, three hundred sixty-six million, six hundred seventy-three thousand, four hundred forty".