107214408 has 128 divisors (see below), whose sum is σ = 355276800. Its totient is φ = 29291328.

The previous prime is 107214407. The next prime is 107214413. The reversal of 107214408 is 804412701.

It is a super-2 number, since 2×107214408² = 22989858565580928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107214403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33235 + ... + 36317.

It is an arithmetic number, because the mean of its divisors is an integer number (2775600).

Almost surely, 2^107214408 is an apocalyptic number.

107214408 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 107214408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177638400).

107214408 is an abundant number, since it is smaller than the sum of its proper divisors (248062392).

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

107214408 is a wasteful number, since it uses less digits than its factorization.

107214408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3118 counting only the distinct ones).

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

The square root of 107214408 is about 10354.4390480605. The cubic root of 107214408 is about 475.0628289929.

It can be divided in two parts, 10721 and 4408, that added together give a square (15129 = 123²).

The spelling of 107214408 in words is "one hundred seven million, two hundred fourteen thousand, four hundred eight".