101419920 has 120 divisors (see below), whose sum is σ = 389278656. Its totient is φ = 23180544.

The previous prime is 101419897. The next prime is 101419933. The reversal of 101419920 is 29914101.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 5022 + ... + 15101.

Almost surely, 2^101419920 is an apocalyptic number.

101419920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101419920 is an abundant number, since it is smaller than the sum of its proper divisors (287858736).

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

101419920 is a wasteful number, since it uses less digits than its factorization.

101419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 101419920 is about 10070.7457519292. The cubic root of 101419920 is about 466.3454615059.

The spelling of 101419920 in words is "one hundred one million, four hundred nineteen thousand, nine hundred twenty".