101527020 has 180 divisors, whose sum is σ = 370782720. Its totient is φ = 23188032.

The previous prime is 101527007. The next prime is 101527021. The reversal of 101527020 is 20725101.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 101526984 and 101527002.

It is not an unprimeable number, because it can be changed into a prime (101527021) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78741 + ... + 80019.

It is an arithmetic number, because the mean of its divisors is an integer number (2059904).

Almost surely, 2^101527020 is an apocalyptic number.

101527020 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 101527020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

101527020 is an abundant number, since it is smaller than the sum of its proper divisors (269255700).

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

101527020 is a wasteful number, since it uses less digits than its factorization.

101527020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101527020 is about 10076.0617306565. The cubic root of 101527020 is about 466.5095582248.

The spelling of 101527020 in words is "one hundred one million, five hundred twenty-seven thousand, twenty".