100540020 has 192 divisors, whose sum is σ = 347719680. Its totient is φ = 21192192.

The previous prime is 100540019. The next prime is 100540031. The reversal of 100540020 is 20045001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100539978 and 100540005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 342994 + ... + 343286.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 2^100540020 is an apocalyptic number.

100540020 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 100540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173859840).

100540020 is an abundant number, since it is smaller than the sum of its proper divisors (247179660).

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

100540020 is a wasteful number, since it uses less digits than its factorization.

100540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 100540020 is about 10026.9646453949. The cubic root of 100540020 is about 464.9929008050.

Adding to 100540020 its reverse (20045001), we get a palindrome (120585021).

The spelling of 100540020 in words is "one hundred million, five hundred forty thousand, twenty".