107142000 has 160 divisors (see below), whose sum is σ = 394927104. Its totient is φ = 24480000.

The previous prime is 107141977. The next prime is 107142011. The reversal of 107142000 is 241701.

It is a super-2 number, since 2×107142000² = 22958816328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40725 + ... + 43275.

Almost surely, 2^107142000 is an apocalyptic number.

107142000 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 107142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197463552).

107142000 is an abundant number, since it is smaller than the sum of its proper divisors (287785104).

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

107142000 is a wasteful number, since it uses less digits than its factorization.

107142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 107142000 is about 10350.9419861189. The cubic root of 107142000 is about 474.9558592408.

Adding to 107142000 its reverse (241701), we get a palindrome (107383701).

It can be divided in two parts, 1071 and 42000, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 107142000 in words is "one hundred seven million, one hundred forty-two thousand".