100768358262000 has 1280 divisors, whose sum is σ = 417163475828736. Its totient is φ = 20538408960000.

The previous prime is 100768358261957. The next prime is 100768358262041. The reversal of 100768358262000 is 262853867001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 452054572 + ... + 452277428.

Almost surely, 2^{100768358262000} is an apocalyptic number.

100768358262000 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 100768358262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208581737914368).

100768358262000 is an abundant number, since it is smaller than the sum of its proper divisors (316395117566736).

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

100768358262000 is a wasteful number, since it uses less digits than its factorization.

100768358262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222955 (or 222939 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 100768358262000 in words is "one hundred trillion, seven hundred sixty-eight billion, three hundred fifty-eight million, two hundred sixty-two thousand".