35105354112 has 192 divisors, whose sum is σ = 99770932800. Its totient is φ = 10929988608.

The previous prime is 35105354101. The next prime is 35105354147. The reversal of 35105354112 is 21145350153.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 35105354112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8732839 + ... + 8736857.

It is an arithmetic number, because the mean of its divisors is an integer number (519640275).

Almost surely, 2^35105354112 is an apocalyptic number.

35105354112 is a gapful number since it is divisible by the number (32) 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 35105354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49885466400).

35105354112 is an abundant number, since it is smaller than the sum of its proper divisors (64665578688).

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

35105354112 is a wasteful number, since it uses less digits than its factorization.

35105354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 35105354112 in words is "thirty-five billion, one hundred five million, three hundred fifty-four thousand, one hundred twelve".