101439190944 has 768 divisors, whose sum is σ = 399008332800. Its totient is φ = 24301928448.

The previous prime is 101439190921. The next prime is 101439190967. The reversal of 101439190944 is 449091934101.

It is an interprime number because it is at equal distance from previous prime (101439190921) and next prime (101439190967).

It is a super-2 number, since 2×101439190944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101439190944.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38760324 + ... + 38762940.

It is an arithmetic number, because the mean of its divisors is an integer number (519542100).

Almost surely, 2^101439190944 is an apocalyptic number.

101439190944 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 101439190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199504166400).

101439190944 is an abundant number, since it is smaller than the sum of its proper divisors (297569141856).

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

101439190944 is a wasteful number, since it uses less digits than its factorization.

101439190944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 101 and 439190944, that multiplied together give a palindrome (44358285344).

The spelling of 101439190944 in words is "one hundred one billion, four hundred thirty-nine million, one hundred ninety thousand, nine hundred forty-four".