101377248 has 96 divisors (see below), whose sum is σ = 305835264. Its totient is φ = 28803072.

The previous prime is 101377229. The next prime is 101377249. The reversal of 101377248 is 842773101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101377249) by changing a digit.

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, 172411 + ... + 172997.

It is an arithmetic number, because the mean of its divisors is an integer number (3185784).

Almost surely, 2^101377248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152917632).

101377248 is an abundant number, since it is smaller than the sum of its proper divisors (204458016).

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

101377248 is a wasteful number, since it uses less digits than its factorization.

101377248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 101377248 is about 10068.6269173110. The cubic root of 101377248 is about 466.2800480411.

The spelling of 101377248 in words is "one hundred one million, three hundred seventy-seven thousand, two hundred forty-eight".