100025135200 has 144 divisors (see below), whose sum is σ = 257407431120. Its totient is φ = 37849835520.

The previous prime is 100025135159. The next prime is 100025135201. The reversal of 100025135200 is 2531520001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100025135201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11502054 + ... + 11510746.

It is an arithmetic number, because the mean of its divisors is an integer number (1787551605).

Almost surely, 2^100025135200 is an apocalyptic number.

100025135200 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 100025135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128703715560).

100025135200 is an abundant number, since it is smaller than the sum of its proper divisors (157382295920).

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

100025135200 is a wasteful number, since it uses less digits than its factorization.

100025135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 100025135200 its reverse (2531520001), we get a palindrome (102556655201).

It can be divided in two parts, 100025 and 135200, that added together give a square (235225 = 485²).

The spelling of 100025135200 in words is "one hundred billion, twenty-five million, one hundred thirty-five thousand, two hundred".