107054024 has 144 divisors (see below), whose sum is σ = 267912540. Its totient is φ = 39916800.

The previous prime is 107054021. The next prime is 107054027. The reversal of 107054024 is 420450701.

It is an interprime number because it is at equal distance from previous prime (107054021) and next prime (107054027).

It can be written as a sum of positive squares in 2 ways, for example, as 106461124 + 592900 = 10318^2 + 770^2 .

It is a super-2 number, since 2×107054024² = 22921128109185152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107054021) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1754954 + ... + 1755014.

Almost surely, 2^107054024 is an apocalyptic number.

107054024 is a gapful number since it is divisible by the number (14) 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 107054024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133956270).

107054024 is an abundant number, since it is smaller than the sum of its proper divisors (160858516).

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

107054024 is a wasteful number, since it uses less digits than its factorization.

107054024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 107054024 is about 10346.6914518603. The cubic root of 107054024 is about 474.8258257071.

The spelling of 107054024 in words is "one hundred seven million, fifty-four thousand, twenty-four".