101377068 has 48 divisors (see below), whose sum is σ = 262972416. Its totient is φ = 30185280.

The previous prime is 101377057. The next prime is 101377079. The reversal of 101377068 is 860773101.

It is an interprime number because it is at equal distance from previous prime (101377057) and next prime (101377079).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5646 + ... + 15317.

It is an arithmetic number, because the mean of its divisors is an integer number (5478592).

Almost surely, 2^101377068 is an apocalyptic number.

It is an amenable number.

101377068 is an abundant number, since it is smaller than the sum of its proper divisors (161595348).

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

101377068 is a wasteful number, since it uses less digits than its factorization.

101377068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 101377068 is about 10068.6179786503. The cubic root of 101377068 is about 466.2797720736.

It can be divided in two parts, 10137 and 7068, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 101377068 in words is "one hundred one million, three hundred seventy-seven thousand, sixty-eight".