107142840 has 384 divisors, whose sum is σ = 438721920. Its totient is φ = 22118400.

The previous prime is 107142821. The next prime is 107142853. The reversal of 107142840 is 48241701.

It is a super-2 number, since 2×107142840² = 22959176326531200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756410 + ... + 1756470.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^107142840 is an apocalyptic number.

107142840 is a gapful number since it is divisible by the number (10) 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 107142840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

107142840 is an abundant number, since it is smaller than the sum of its proper divisors (331579080).

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

107142840 is a wasteful number, since it uses less digits than its factorization.

107142840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

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

The square root of 107142840 is about 10350.9825620566. The cubic root of 107142840 is about 474.9571004655.

The spelling of 107142840 in words is "one hundred seven million, one hundred forty-two thousand, eight hundred forty".