100396225440 has 1152 divisors, whose sum is σ = 451990264320. Its totient is φ = 20641775616.

The previous prime is 100396225411. The next prime is 100396225451. The reversal of 100396225440 is 44522693001.

It is a happy number.

100396225440 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 96 + 22 + 544 + 0 = 666.

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 = 100396225395 and 100396225404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82766274 + ... + 82767486.

It is an arithmetic number, because the mean of its divisors is an integer number (392352660).

Almost surely, 2^100396225440 is an apocalyptic number.

100396225440 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 100396225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225995132160).

100396225440 is an abundant number, since it is smaller than the sum of its proper divisors (351594038880).

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

100396225440 is a wasteful number, since it uses less digits than its factorization.

100396225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100396225440 in words is "one hundred billion, three hundred ninety-six million, two hundred twenty-five thousand, four hundred forty".