101352420 has 72 divisors (see below), whose sum is σ = 331092216. Its totient is φ = 24947712.

The previous prime is 101352401. The next prime is 101352457. The reversal of 101352420 is 24253101.

It can be written as a sum of positive squares in 4 ways, for example, as 22071204 + 79281216 = 4698^2 + 8904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101352393 and 101352402.

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, 19317 + ... + 23996.

It is an arithmetic number, because the mean of its divisors is an integer number (4598503).

Almost surely, 2^101352420 is an apocalyptic number.

101352420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101352420 is an abundant number, since it is smaller than the sum of its proper divisors (229739796).

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

101352420 is a wasteful number, since it uses less digits than its factorization.

101352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43341 (or 43336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101352420 is about 10067.3939030913. The cubic root of 101352420 is about 466.2419798470.

The spelling of 101352420 in words is "one hundred one million, three hundred fifty-two thousand, four hundred twenty".