101142320 has 40 divisors (see below), whose sum is σ = 247536240. Its totient is φ = 38327040.

The previous prime is 101142311. The next prime is 101142341. The reversal of 101142320 is 23241101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101142295 and 101142304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31751 + ... + 34790.

It is an arithmetic number, because the mean of its divisors is an integer number (6188406).

Almost surely, 2^101142320 is an apocalyptic number.

101142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142320 is an abundant number, since it is smaller than the sum of its proper divisors (146393920).

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

101142320 is a wasteful number, since it uses less digits than its factorization.

101142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66573 (or 66567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101142320 is about 10056.9538131583. The cubic root of 101142320 is about 465.9195892372.

Adding to 101142320 its reverse (23241101), we get a palindrome (124383421).

The spelling of 101142320 in words is "one hundred one million, one hundred forty-two thousand, three hundred twenty".