101948820 has 48 divisors (see below), whose sum is σ = 286312320. Its totient is φ = 27104896.

The previous prime is 101948809. The next prime is 101948827. The reversal of 101948820 is 28849101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101948827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19174 + ... + 23906.

It is an arithmetic number, because the mean of its divisors is an integer number (5964840).

Almost surely, 2^101948820 is an apocalyptic number.

101948820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101948820 is an abundant number, since it is smaller than the sum of its proper divisors (184363500).

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

101948820 is a wasteful number, since it uses less digits than its factorization.

101948820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 101948820 is about 10096.9708328785. The cubic root of 101948820 is about 467.1547127731.

The spelling of 101948820 in words is "one hundred one million, nine hundred forty-eight thousand, eight hundred twenty".