108904429440 has 192 divisors, whose sum is σ = 384062852160. Its totient is φ = 28423213056.

The previous prime is 108904429423. The next prime is 108904429457. The reversal of 108904429440 is 44924409801.

108904429440 is a `hidden beast` number, since 1 + 0 + 89 + 0 + 442 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (108904429423) and next prime (108904429457).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69582 + ... + 471858.

It is an arithmetic number, because the mean of its divisors is an integer number (2000327355).

Almost surely, 2^108904429440 is an apocalyptic number.

108904429440 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 108904429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192031426080).

108904429440 is an abundant number, since it is smaller than the sum of its proper divisors (275158422720).

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

108904429440 is a wasteful number, since it uses less digits than its factorization.

108904429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402349 (or 402334 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 108904429440 in words is "one hundred eight billion, nine hundred four million, four hundred twenty-nine thousand, four hundred forty".