101974000 has 80 divisors (see below), whose sum is σ = 250582176. Its totient is φ = 40128000.

The previous prime is 101973997. The next prime is 101974001. The reversal of 101974000 is 479101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101974001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133620 + ... + 134380.

Almost surely, 2^101974000 is an apocalyptic number.

101974000 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 101974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125291088).

101974000 is an abundant number, since it is smaller than the sum of its proper divisors (148608176).

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

101974000 is an equidigital number, since it uses as much as digits as its factorization.

101974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 101974000 is about 10098.2176645188. The cubic root of 101974000 is about 467.1931699367.

The spelling of 101974000 in words is "one hundred one million, nine hundred seventy-four thousand".