100451103150400 has 42 divisors (see below), whose sum is σ = 247172495693390. Its totient is φ = 40180441259520.

The previous prime is 100451103150397. The next prime is 100451103150401. The reversal of 100451103150400 is 4051301154001.

It can be written as a sum of positive squares in 3 ways, for example, as 36027749345344 + 64423353805056 = 6002312^2 + 8026416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100451103150401) 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 5 ways as a sum of consecutive naturals, for example, 31390968135 + ... + 31390971334.

Almost surely, 2^{100451103150400} is an apocalyptic number.

100451103150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100451103150400 is an abundant number, since it is smaller than the sum of its proper divisors (146721392542990).

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

100451103150400 is an equidigital number, since it uses as much as digits as its factorization.

100451103150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62781939491 (or 62781939476 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 100451103150400 in words is "one hundred trillion, four hundred fifty-one billion, one hundred three million, one hundred fifty thousand, four hundred".