101267264 has 56 divisors (see below), whose sum is σ = 241767360. Its totient is φ = 41112576.

The previous prime is 101267239. The next prime is 101267269. The reversal of 101267264 is 462762101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101267269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2564 + ... + 14460.

Almost surely, 2^101267264 is an apocalyptic number.

101267264 is a gapful number since it is divisible by the number (14) 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 101267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120883680).

101267264 is an abundant number, since it is smaller than the sum of its proper divisors (140500096).

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

101267264 is a wasteful number, since it uses less digits than its factorization.

101267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11935 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 101267264 is about 10063.1637172412. The cubic root of 101267264 is about 466.1113648873. Note that the first 3 decimals are identical.

The spelling of 101267264 in words is "one hundred one million, two hundred sixty-seven thousand, two hundred sixty-four".