100025840 has 80 divisors (see below), whose sum is σ = 244912896. Its totient is φ = 37939200.

The previous prime is 100025839. The next prime is 100025879. The reversal of 100025840 is 48520001.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 131060 + ... + 131820.

Almost surely, 2^100025840 is an apocalyptic number.

100025840 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 100025840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

100025840 is an abundant number, since it is smaller than the sum of its proper divisors (144887056).

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

100025840 is a wasteful number, since it uses less digits than its factorization.

100025840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 100025840 is about 10001.2919165476. The cubic root of 100025840 is about 464.1988594700.

Adding to 100025840 its reverse (48520001), we get a palindrome (148545841).

The spelling of 100025840 in words is "one hundred million, twenty-five thousand, eight hundred forty".