100970436223800 has 1152 divisors, whose sum is σ = 405896234103360. Its totient is φ = 22171329331200.

The previous prime is 100970436223781. The next prime is 100970436223807. The reversal of 100970436223800 is 8322634079001.

100970436223800 is a `hidden beast` number, since 10 + 0 + 9 + 7 + 0 + 4 + 3 + 622 + 3 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100970436223807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3701655762 + ... + 3701683038.

Almost surely, 2^{100970436223800} is an apocalyptic number.

100970436223800 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 100970436223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202948117051680).

100970436223800 is an abundant number, since it is smaller than the sum of its proper divisors (304925797879560).

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

100970436223800 is a wasteful number, since it uses less digits than its factorization.

100970436223800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27593 (or 27581 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 100970436223800 in words is "one hundred trillion, nine hundred seventy billion, four hundred thirty-six million, two hundred twenty-three thousand, eight hundred".