101076120 has 128 divisors (see below), whose sum is σ = 347904000. Its totient is φ = 26075520.

The previous prime is 101076113. The next prime is 101076121. The reversal of 101076120 is 21670101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101076093 and 101076102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101076121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31971 + ... + 34989.

It is an arithmetic number, because the mean of its divisors is an integer number (2718000).

Almost surely, 2^101076120 is an apocalyptic number.

101076120 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 101076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173952000).

101076120 is an abundant number, since it is smaller than the sum of its proper divisors (246827880).

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

101076120 is a wasteful number, since it uses less digits than its factorization.

101076120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101076120 is about 10053.6620193838. The cubic root of 101076120 is about 465.8179153168.

The spelling of 101076120 in words is "one hundred one million, seventy-six thousand, one hundred twenty".