101215440 has 160 divisors (see below), whose sum is σ = 356405760. Its totient is φ = 26390016.

The previous prime is 101215417. The next prime is 101215453. The reversal of 101215440 is 44512101.

101215440 is a `hidden beast` number, since 1 + 0 + 121 + 544 + 0 = 666.

It is a super-3 number, since 3×101215440³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101022 + ... + 102018.

It is an arithmetic number, because the mean of its divisors is an integer number (2227536).

Almost surely, 2^101215440 is an apocalyptic number.

101215440 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 101215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178202880).

101215440 is an abundant number, since it is smaller than the sum of its proper divisors (255190320).

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

101215440 is a wasteful number, since it uses less digits than its factorization.

101215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101215440 is about 10060.5884519744. The cubic root of 101215440 is about 466.0318397569.

Adding to 101215440 its reverse (44512101), we get a palindrome (145727541).

The spelling of 101215440 in words is "one hundred one million, two hundred fifteen thousand, four hundred forty".