101505000 has 160 divisors (see below), whose sum is σ = 325020960. Its totient is φ = 26400000.

The previous prime is 101504989. The next prime is 101505013. The reversal of 101505000 is 505101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1004950 + ... + 1005050.

It is an arithmetic number, because the mean of its divisors is an integer number (2031381).

Almost surely, 2^101505000 is an apocalyptic number.

101505000 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 101505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162510480).

101505000 is an abundant number, since it is smaller than the sum of its proper divisors (223515960).

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

101505000 is a wasteful number, since it uses less digits than its factorization.

101505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

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

The square root of 101505000 is about 10074.9689825825. The cubic root of 101505000 is about 466.4758289994.

The spelling of 101505000 in words is "one hundred one million, five hundred five thousand".