100226377440 has 288 divisors, whose sum is σ = 397510364160. Its totient is φ = 22520466432.

The previous prime is 100226377429. The next prime is 100226377451. The reversal of 100226377440 is 44773622001.

100226377440 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 637 + 7 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100226377429) and next prime (100226377451).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 100226377395 and 100226377404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510457 + ... + 678983.

It is an arithmetic number, because the mean of its divisors is an integer number (1380244320).

Almost surely, 2^100226377440 is an apocalyptic number.

100226377440 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 100226377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198755182080).

100226377440 is an abundant number, since it is smaller than the sum of its proper divisors (297283986720).

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

100226377440 is a wasteful number, since it uses less digits than its factorization.

100226377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168614 (or 168603 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 100226377440 its reverse (44773622001), we get a palindrome (144999999441).

The spelling of 100226377440 in words is "one hundred billion, two hundred twenty-six million, three hundred seventy-seven thousand, four hundred forty".