101975000 has 48 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 40780000.

The previous prime is 101974967. The next prime is 101975009. The reversal of 101975000 is 579101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101975009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22961 + ... + 27039.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^101975000 is an apocalyptic number.

101975000 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 101975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

101975000 is an abundant number, since it is smaller than the sum of its proper divisors (137072200).

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

101975000 is an frugal number, since it uses more digits than its factorization.

101975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 101975000 is about 10098.2671780856. The cubic root of 101975000 is about 467.1946970961.

The spelling of 101975000 in words is "one hundred one million, nine hundred seventy-five thousand".