1000106140 has 36 divisors (see below), whose sum is σ = 2308515048. Its totient is φ = 363674080.

The previous prime is 1000106113. The next prime is 1000106147. The reversal of 1000106140 is 416010001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000106140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000106147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204214 + ... + 209053.

It is an arithmetic number, because the mean of its divisors is an integer number (64125418).

Almost surely, 2^1000106140 is an apocalyptic number.

1000106140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000106140 is an abundant number, since it is smaller than the sum of its proper divisors (1308408908).

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

1000106140 is a wasteful number, since it uses less digits than its factorization.

1000106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413298 (or 413285 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1000106140 is about 31624.4547779088. The cubic root of 1000106140 is about 1000.0353787483.

Adding to 1000106140 its reverse (416010001), we get a palindrome (1416116141).

The spelling of 1000106140 in words is "one billion, one hundred six thousand, one hundred forty".