4106931000 has 128 divisors (see below), whose sum is σ = 13031366400. Its totient is φ = 1076572800.

The previous prime is 4106930999. The next prime is 4106931001. The reversal of 4106931000 is 1396014.

It is an interprime number because it is at equal distance from previous prime (4106930999) and next prime (4106931001).

It is a super-2 number, since 2×4106931000² = 33733764477522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106931001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165399 + ... + 188601.

It is an arithmetic number, because the mean of its divisors is an integer number (101807550).

Almost surely, 2^4106931000 is an apocalyptic number.

4106931000 is a gapful number since it is divisible by the number (40) 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 4106931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515683200).

4106931000 is an abundant number, since it is smaller than the sum of its proper divisors (8924435400).

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

4106931000 is a wasteful number, since it uses less digits than its factorization.

4106931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23286 (or 23272 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4106931000 is about 64085.3415376715. The cubic root of 4106931000 is about 1601.4220430382.

The spelling of 4106931000 in words is "four billion, one hundred six million, nine hundred thirty-one thousand".