100202540 has 48 divisors (see below), whose sum is σ = 224743680. Its totient is φ = 37443840.

The previous prime is 100202537. The next prime is 100202579. The reversal of 100202540 is 45202001.

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, 15194 + ... + 20766.

It is an arithmetic number, because the mean of its divisors is an integer number (4682160).

Almost surely, 2^100202540 is an apocalyptic number.

100202540 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 100202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112371840).

100202540 is an abundant number, since it is smaller than the sum of its proper divisors (124541140).

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

100202540 is a wasteful number, since it uses less digits than its factorization.

100202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 100202540 is about 10010.1218773799. The cubic root of 100202540 is about 464.4720411672.

Adding to 100202540 its reverse (45202001), we get a palindrome (145404541).

The spelling of 100202540 in words is "one hundred million, two hundred two thousand, five hundred forty".