101035089792 has 1152 divisors, whose sum is σ = 393105960000. Its totient is φ = 24797380608.

The previous prime is 101035089787. The next prime is 101035089817. The reversal of 101035089792 is 297980530101.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1135225684 + ... + 1135225772.

Almost surely, 2^101035089792 is an apocalyptic number.

101035089792 is a gapful number since it is divisible by the number (12) 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 101035089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196552980000).

101035089792 is an abundant number, since it is smaller than the sum of its proper divisors (292070870208).

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

101035089792 is a wasteful number, since it uses less digits than its factorization.

101035089792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 101035089792 in words is "one hundred one billion, thirty-five million, eighty-nine thousand, seven hundred ninety-two".