101435720 has 64 divisors (see below), whose sum is σ = 237427200. Its totient is φ = 38960640.

The previous prime is 101435701. The next prime is 101435723. The reversal of 101435720 is 27534101.

It is not an unprimeable number, because it can be changed into a prime (101435723) by changing a digit.

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, 221732 + ... + 222188.

It is an arithmetic number, because the mean of its divisors is an integer number (3709800).

Almost surely, 2^101435720 is an apocalyptic number.

101435720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101435720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118713600).

101435720 is an abundant number, since it is smaller than the sum of its proper divisors (135991480).

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

101435720 is a wasteful number, since it uses less digits than its factorization.

101435720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 101435720 is about 10071.5301717266. The cubic root of 101435720 is about 466.3696772474.

Adding to 101435720 its reverse (27534101), we get a palindrome (128969821).

The spelling of 101435720 in words is "one hundred one million, four hundred thirty-five thousand, seven hundred twenty".