101378680 has 128 divisors (see below), whose sum is σ = 267724800. Its totient is φ = 34214400.

The previous prime is 101378657. The next prime is 101378681. The reversal of 101378680 is 86873101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101378681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306115 + ... + 306445.

It is an arithmetic number, because the mean of its divisors is an integer number (2091600).

Almost surely, 2^101378680 is an apocalyptic number.

101378680 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 101378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862400).

101378680 is an abundant number, since it is smaller than the sum of its proper divisors (166346120).

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

101378680 is a wasteful number, since it uses less digits than its factorization.

101378680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 101378680 is about 10068.6980290403. The cubic root of 101378680 is about 466.2822435037.

The spelling of 101378680 in words is "one hundred one million, three hundred seventy-eight thousand, six hundred eighty".