101332264 has 64 divisors (see below), whose sum is σ = 218376000. Its totient is φ = 43653120.

The previous prime is 101332261. The next prime is 101332267. The reversal of 101332264 is 462233101.

It is an interprime number because it is at equal distance from previous prime (101332261) and next prime (101332267).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101332261) 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, 150232 + ... + 150904.

It is an arithmetic number, because the mean of its divisors is an integer number (3412125).

Almost surely, 2^101332264 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 101332264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109188000).

101332264 is an abundant number, since it is smaller than the sum of its proper divisors (117043736).

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

101332264 is a wasteful number, since it uses less digits than its factorization.

101332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 101332264 is about 10066.3927998067. The cubic root of 101332264 is about 466.2110705493.

Adding to 101332264 its reverse (462233101), we get a palindrome (563565365).

The spelling of 101332264 in words is "one hundred one million, three hundred thirty-two thousand, two hundred sixty-four".