109905408 has 240 divisors, whose sum is σ = 356200416. Its totient is φ = 32440320.

The previous prime is 109905407. The next prime is 109905409. The reversal of 109905408 is 804509901.

109905408 is a `hidden beast` number, since 109 + 9 + 0 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (109905407) and next prime (109905409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109905403) 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, 1801698 + ... + 1801758.

Almost surely, 2^109905408 is an apocalyptic number.

109905408 is a gapful number since it is divisible by the number (18) 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 109905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

109905408 is an abundant number, since it is smaller than the sum of its proper divisors (246295008).

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

109905408 is a wasteful number, since it uses less digits than its factorization.

109905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109905408 is about 10483.5780151626. The cubic root of 109905408 is about 479.0046038990.

The spelling of 109905408 in words is "one hundred nine million, nine hundred five thousand, four hundred eight".