100919485440 has 352 divisors, whose sum is σ = 379755509760. Its totient is φ = 25328222208.

The previous prime is 100919485417. The next prime is 100919485483. The reversal of 100919485440 is 44584919001.

It is a happy number.

100919485440 is a `hidden beast` number, since 10 + 0 + 9 + 1 + 94 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328609 + ... + 2371551.

It is an arithmetic number, because the mean of its divisors is an integer number (1078850880).

Almost surely, 2^100919485440 is an apocalyptic number.

100919485440 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 100919485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189877754880).

100919485440 is an abundant number, since it is smaller than the sum of its proper divisors (278836024320).

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

100919485440 is a wasteful number, since it uses less digits than its factorization.

100919485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42994 (or 42970 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 100919485440 in words is "one hundred billion, nine hundred nineteen million, four hundred eighty-five thousand, four hundred forty".