101155520 has 56 divisors (see below), whose sum is σ = 241944144. Its totient is φ = 40283136.

The previous prime is 101155501. The next prime is 101155529. The reversal of 101155520 is 25551101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101155492 and 101155501.

It is not an unprimeable number, because it can be changed into a prime (101155529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90002 + ... + 91118.

Almost surely, 2^101155520 is an apocalyptic number.

101155520 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 101155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120972072).

101155520 is an abundant number, since it is smaller than the sum of its proper divisors (140788624).

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

101155520 is a wasteful number, since it uses less digits than its factorization.

101155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 101155520 is about 10057.6100540834. The cubic root of 101155520 is about 465.9398572815.

The spelling of 101155520 in words is "one hundred one million, one hundred fifty-five thousand, five hundred twenty".