100768950 has 72 divisors (see below), whose sum is σ = 275245776. Its totient is φ = 26424000.

The previous prime is 100768937. The next prime is 100768961. The reversal of 100768950 is 59867001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25615 + ... + 29285.

It is an arithmetic number, because the mean of its divisors is an integer number (3822858).

Almost surely, 2^100768950 is an apocalyptic number.

100768950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100768950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622888).

100768950 is an abundant number, since it is smaller than the sum of its proper divisors (174476826).

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

100768950 is a wasteful number, since it uses less digits than its factorization.

100768950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 100768950 is about 10038.3738722962. The cubic root of 100768950 is about 465.3455634579.

The spelling of 100768950 in words is "one hundred million, seven hundred sixty-eight thousand, nine hundred fifty".