101377740 has 48 divisors (see below), whose sum is σ = 286685280. Its totient is φ = 26764800.

The previous prime is 101377733. The next prime is 101377741. The reversal of 101377740 is 47773101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101377698 and 101377707.

It is not an unprimeable number, because it can be changed into a prime (101377741) 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 15 ways as a sum of consecutive naturals, for example, 2305 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (5972610).

Almost surely, 2^101377740 is an apocalyptic number.

101377740 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 101377740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143342640).

101377740 is an abundant number, since it is smaller than the sum of its proper divisors (185307540).

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

101377740 is a wasteful number, since it uses less digits than its factorization.

101377740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16842 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 101377740 is about 10068.6513496098. The cubic root of 101377740 is about 466.2808023504.

The spelling of 101377740 in words is "one hundred one million, three hundred seventy-seven thousand, seven hundred forty".