101004948 has 48 divisors (see below), whose sum is σ = 285673920. Its totient is φ = 30607200.

The previous prime is 101004929. The next prime is 101004971. The reversal of 101004948 is 849400101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41323 + ... + 43698.

It is an arithmetic number, because the mean of its divisors is an integer number (5951540).

Almost surely, 2^101004948 is an apocalyptic number.

101004948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101004948 is an abundant number, since it is smaller than the sum of its proper divisors (184668972).

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

101004948 is a wasteful number, since it uses less digits than its factorization.

101004948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85045 (or 85037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101004948 is about 10050.1217903068. The cubic root of 101004948 is about 465.7085555681.

The spelling of 101004948 in words is "one hundred one million, four thousand, nine hundred forty-eight".