100955483280000 has 480 divisors, whose sum is σ = 384375429755460. Its totient is φ = 25337843712000.

The previous prime is 100955483279953. The next prime is 100955483280059. The reversal of 100955483280000 is 82384559001.

100955483280000 is a `hidden beast` number, since 1 + 0 + 0 + 95 + 5 + 483 + 2 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13700006627904 + 87255476652096 = 3701352^2 + 9341064^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8116002 + ... + 16363998.

Almost surely, 2^{100955483280000} is an apocalyptic number.

100955483280000 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 100955483280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192187714877730).

100955483280000 is an abundant number, since it is smaller than the sum of its proper divisors (283419946475460).

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

100955483280000 is an equidigital number, since it uses as much as digits as its factorization.

100955483280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248054 (or 8248024 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100955483280000 in words is "one hundred trillion, nine hundred fifty-five billion, four hundred eighty-three million, two hundred eighty thousand".