101005500 has 144 divisors (see below), whose sum is σ = 313788384. Its totient is φ = 25241600.

The previous prime is 101005493. The next prime is 101005507. The reversal of 101005500 is 5500101.

It is an interprime number because it is at equal distance from previous prime (101005493) and next prime (101005507).

It is a super-2 number, since 2×101005500² = 20404222060500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433384 + ... + 433616.

It is an arithmetic number, because the mean of its divisors is an integer number (2179086).

Almost surely, 2^101005500 is an apocalyptic number.

101005500 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 101005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156894192).

101005500 is an abundant number, since it is smaller than the sum of its proper divisors (212782884).

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

101005500 is a wasteful number, since it uses less digits than its factorization.

101005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 101005500 is about 10050.1492526231. The cubic root of 101005500 is about 465.7094039445.

Adding to 101005500 its reverse (5500101), we get a palindrome (106505601).

The spelling of 101005500 in words is "one hundred one million, five thousand, five hundred".