101000640 has 112 divisors (see below), whose sum is σ = 345387168. Its totient is φ = 24858624.

The previous prime is 101000629. The next prime is 101000657. The reversal of 101000640 is 46000101.

It is a super-2 number, since 2×101000640² = 20402258560819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8434 + ... + 16526.

It is an arithmetic number, because the mean of its divisors is an integer number (3083814).

Almost surely, 2^101000640 is an apocalyptic number.

101000640 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 101000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172693584).

101000640 is an abundant number, since it is smaller than the sum of its proper divisors (244386528).

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

101000640 is a wasteful number, since it uses less digits than its factorization.

101000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101000640 is about 10049.9074622605. The cubic root of 101000640 is about 465.7019344371.

Adding to 101000640 its reverse (46000101), we get a palindrome (147000741).

The spelling of 101000640 in words is "one hundred one million, six hundred forty", and thus it is an aban number.