100760411265472 has 224 divisors, whose sum is σ = 254771667118080. Its totient is φ = 38490853294080.

The previous prime is 100760411265419. The next prime is 100760411265497. The reversal of 100760411265472 is 274562114067001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437325022 + ... + 437555362.

It is an arithmetic number, because the mean of its divisors is an integer number (1137373513920).

Almost surely, 2^{100760411265472} 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 100760411265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127385833559040).

100760411265472 is an abundant number, since it is smaller than the sum of its proper divisors (154011255852608).

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

100760411265472 is a wasteful number, since it uses less digits than its factorization.

100760411265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233419 (or 233409 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 100760411265472 in words is "one hundred trillion, seven hundred sixty billion, four hundred eleven million, two hundred sixty-five thousand, four hundred seventy-two".