101410720 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 39137280.

The previous prime is 101410717. The next prime is 101410721. The reversal of 101410720 is 27014101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101410694 and 101410703.

It is not an unprimeable number, because it can be changed into a prime (101410721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897384 + ... + 897496.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^101410720 is an apocalyptic number.

101410720 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 101410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

101410720 is an abundant number, since it is smaller than the sum of its proper divisors (146799200).

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

101410720 is a wasteful number, since it uses less digits than its factorization.

101410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 101410720 is about 10070.2889730136. The cubic root of 101410720 is about 466.3313600422.

Adding to 101410720 its reverse (27014101), we get a palindrome (128424821).

The spelling of 101410720 in words is "one hundred one million, four hundred ten thousand, seven hundred twenty".