101248464 has 80 divisors (see below), whose sum is σ = 279410688. Its totient is φ = 31481856.

The previous prime is 101248453. The next prime is 101248493. The reversal of 101248464 is 464842101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103144 + ... + 104120.

Almost surely, 2^101248464 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 101248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139705344).

101248464 is an abundant number, since it is smaller than the sum of its proper divisors (178162224).

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

101248464 is a wasteful number, since it uses less digits than its factorization.

101248464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 101248464 is about 10062.2295740060. The cubic root of 101248464 is about 466.0825189878.

The spelling of 101248464 in words is "one hundred one million, two hundred forty-eight thousand, four hundred sixty-four".