101742004464 has 320 divisors, whose sum is σ = 296189042688. Its totient is φ = 29940940800.

The previous prime is 101742004457. The next prime is 101742004471. The reversal of 101742004464 is 464400247101.

It is an interprime number because it is at equal distance from previous prime (101742004457) and next prime (101742004471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272766582 + ... + 272766954.

Almost surely, 2^101742004464 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 101742004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148094521344).

101742004464 is an abundant number, since it is smaller than the sum of its proper divisors (194447038224).

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

101742004464 is a wasteful number, since it uses less digits than its factorization.

101742004464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 101742004464 in words is "one hundred one billion, seven hundred forty-two million, four thousand, four hundred sixty-four".