101948000 has 192 divisors, whose sum is σ = 313238016. Its totient is φ = 31680000.

The previous prime is 101947957. The next prime is 101948009. The reversal of 101948000 is 849101.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101948009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307835 + ... + 308165.

It is an arithmetic number, because the mean of its divisors is an integer number (1631448).

Almost surely, 2^101948000 is an apocalyptic number.

101948000 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 101948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156619008).

101948000 is an abundant number, since it is smaller than the sum of its proper divisors (211290016).

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

101948000 is a wasteful number, since it uses less digits than its factorization.

101948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101948000 is about 10096.9302265590. The cubic root of 101948000 is about 467.1534602888.

The spelling of 101948000 in words is "one hundred one million, nine hundred forty-eight thousand".