100225326787600 has 405 divisors, whose sum is σ = 286942306823613. Its totient is φ = 33543647665920.

The previous prime is 100225326787567. The next prime is 100225326787601. The reversal of 100225326787600 is 6787623522001.

The square root of 100225326787600 is 10011260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36081117643536 + 64144209144064 = 6006756^2 + 8009008^2 .

It is a super-2 number, since 2×100225326787600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (100225326787601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 60267784369 + ... + 60267786031.

Almost surely, 2^{100225326787600} is an apocalyptic number.

100225326787600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100225326787600 is the 10011260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100225326787600

100225326787600 is an abundant number, since it is smaller than the sum of its proper divisors (186716980036013).

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

100225326787600 is an frugal number, since it uses more digits than its factorization.

100225326787600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

100225326787600 divided by its sum of digits (49) gives a square (2045414832400 = 1430180²).

The spelling of 100225326787600 in words is "one hundred trillion, two hundred twenty-five billion, three hundred twenty-six million, seven hundred eighty-seven thousand, six hundred".