101380068 has 72 divisors (see below), whose sum is σ = 265865600. Its totient is φ = 32550336.

The previous prime is 101380049. The next prime is 101380079. The reversal of 101380068 is 860083101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121878 + ... + 122706.

Almost surely, 2^101380068 is an apocalyptic number.

101380068 is a gapful number since it is divisible by the number (18) 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 101380068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132932800).

101380068 is an abundant number, since it is smaller than the sum of its proper divisors (164485532).

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

101380068 is a wasteful number, since it uses less digits than its factorization.

101380068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101380068 is about 10068.7669552930. The cubic root of 101380068 is about 466.2843714883.

The spelling of 101380068 in words is "one hundred one million, three hundred eighty thousand, sixty-eight".