100974382057200 has 240 divisors, whose sum is σ = 330645828741120. Its totient is φ = 26328929295360.

The previous prime is 100974382057147. The next prime is 100974382057253. The reversal of 100974382057200 is 2750283479001.

It is a happy number.

It is a Cunningham number, because it is equal to 10048601²-1.

It is an interprime number because it is at equal distance from previous prime (100974382057147) and next prime (100974382057253).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100974382057200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59454217 + ... + 61128983.

It is an arithmetic number, because the mean of its divisors is an integer number (1377690953088).

Almost surely, 2^{100974382057200} is an apocalyptic number.

100974382057200 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 100974382057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322914370560).

100974382057200 is an abundant number, since it is smaller than the sum of its proper divisors (229671446683920).

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

100974382057200 is a wasteful number, since it uses less digits than its factorization.

100974382057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675904 (or 1675893 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 100974382057200 in words is "one hundred trillion, nine hundred seventy-four billion, three hundred eighty-two million, fifty-seven thousand, two hundred".