100272139776 has 240 divisors, whose sum is σ = 292580340624. Its totient is φ = 33058455552.

The previous prime is 100272139757. The next prime is 100272139777. The reversal of 100272139776 is 677931272001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272139777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268825926 + ... + 268826298.

Almost surely, 2^100272139776 is an apocalyptic number.

100272139776 is a gapful number since it is divisible by the number (16) 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 100272139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146290170312).

100272139776 is an abundant number, since it is smaller than the sum of its proper divisors (192308200848).

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

100272139776 is a wasteful number, since it uses less digits than its factorization.

100272139776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 100272139776 in words is "one hundred billion, two hundred seventy-two million, one hundred thirty-nine thousand, seven hundred seventy-six".