101488920 has 128 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 24583680.

The previous prime is 101488913. The next prime is 101488927. The reversal of 101488920 is 29884101.

It is an interprime number because it is at equal distance from previous prime (101488913) and next prime (101488927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101488927) 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, 104035 + ... + 105005.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^101488920 is an apocalyptic number.

101488920 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 101488920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

101488920 is an abundant number, since it is smaller than the sum of its proper divisors (231634920).

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

101488920 is a wasteful number, since it uses less digits than its factorization.

101488920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 101488920 is about 10074.1709336302. The cubic root of 101488920 is about 466.4511953115.

The spelling of 101488920 in words is "one hundred one million, four hundred eighty-eight thousand, nine hundred twenty".