101938000 has 40 divisors (see below), whose sum is σ = 246490920. Its totient is φ = 40774400.

The previous prime is 101937991. The next prime is 101938009. The reversal of 101938000 is 839101.

It is an interprime number because it is at equal distance from previous prime (101937991) and next prime (101938009).

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 85969984 = 3996^2 + 9272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101938009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23485 + ... + 27484.

It is an arithmetic number, because the mean of its divisors is an integer number (6162273).

Almost surely, 2^101938000 is an apocalyptic number.

101938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101938000 is an abundant number, since it is smaller than the sum of its proper divisors (144552920).

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

101938000 is an equidigital number, since it uses as much as digits as its factorization.

101938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50992 (or 50976 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 101938000 is about 10096.4350143999. The cubic root of 101938000 is about 467.1381855495.

The spelling of 101938000 in words is "one hundred one million, nine hundred thirty-eight thousand".