1107414 has 96 divisors (see below), whose sum is σ = 3234816. Its totient is φ = 264960.

The previous prime is 1107409. The next prime is 1107419. The reversal of 1107414 is 4147011.

1107414 = T₁ + T₂ + ... + T₁₈₇.

1107414 is a nontrivial binomial coefficient, being equal to C(189, 3).

It is an interprime number because it is at equal distance from previous prime (1107409) and next prime (1107419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107419) by changing a digit.

It is the 187-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23539 + ... + 23585.

It is an arithmetic number, because the mean of its divisors is an integer number (33696).

2^1107414 is an apocalyptic number.

1107414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617408).

1107414 is an abundant number, since it is smaller than the sum of its proper divisors (2127402).

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

1107414 is a wasteful number, since it uses less digits than its factorization.

1107414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1107414 is about 1052.3373983661. The cubic root of 1107414 is about 103.4594113760.

It can be divided in two parts, 1107 and 414, that added together give a square (1521 = 39²).

The spelling of 1107414 in words is "one million, one hundred seven thousand, four hundred fourteen".