101214564 has 48 divisors (see below), whose sum is σ = 259807296. Its totient is φ = 30666240.

The previous prime is 101214557. The next prime is 101214569. The reversal of 101214564 is 465412101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101214569) 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, 12804 + ... + 19140.

It is an arithmetic number, because the mean of its divisors is an integer number (5412652).

Almost surely, 2^101214564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101214564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129903648).

101214564 is an abundant number, since it is smaller than the sum of its proper divisors (158592732).

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

101214564 is a wasteful number, since it uses less digits than its factorization.

101214564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101214564 is about 10060.5449156594. The cubic root of 101214564 is about 466.0304952812.

Adding to 101214564 its reverse (465412101), we get a palindrome (566626665).

It can be divided in two parts, 1012 and 14564, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 101214564 in words is "one hundred one million, two hundred fourteen thousand, five hundred sixty-four".