107421408 has 72 divisors (see below), whose sum is σ = 318781008. Its totient is φ = 34248192.

The previous prime is 107421403. The next prime is 107421437. The reversal of 107421408 is 804124701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107421403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (4427514).

Almost surely, 2^107421408 is an apocalyptic number.

107421408 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 107421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159390504).

107421408 is an abundant number, since it is smaller than the sum of its proper divisors (211359600).

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

107421408 is a wasteful number, since it uses less digits than its factorization.

107421408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16256 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107421408 is about 10364.4299409085. The cubic root of 107421408 is about 475.3683687297.

The spelling of 107421408 in words is "one hundred seven million, four hundred twenty-one thousand, four hundred eight".