100640540 has 144 divisors (see below), whose sum is σ = 286539456. Its totient is φ = 28892160.

The previous prime is 100640497. The next prime is 100640543. The reversal of 100640540 is 45046001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100640543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219992 + ... + 220448.

Almost surely, 2^100640540 is an apocalyptic number.

100640540 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 100640540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143269728).

100640540 is an abundant number, since it is smaller than the sum of its proper divisors (185898916).

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

100640540 is a wasteful number, since it uses less digits than its factorization.

100640540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100640540 is about 10031.9758771640. The cubic root of 100640540 is about 465.1478159581.

Adding to 100640540 its reverse (45046001), we get a palindrome (145686541).

The spelling of 100640540 in words is "one hundred million, six hundred forty thousand, five hundred forty".