101935434420 has 192 divisors, whose sum is σ = 338652518400. Its totient is φ = 25398696960.

The previous prime is 101935434373. The next prime is 101935434437. The reversal of 101935434420 is 24434539101.

101935434420 is a `hidden beast` number, since 1 + 0 + 1 + 93 + 543 + 4 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380472 + ... + 590448.

It is an arithmetic number, because the mean of its divisors is an integer number (1763815200).

Almost surely, 2^101935434420 is an apocalyptic number.

101935434420 is a gapful number since it is divisible by the number (10) 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 101935434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169326259200).

101935434420 is an abundant number, since it is smaller than the sum of its proper divisors (236717083980).

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

101935434420 is a wasteful number, since it uses less digits than its factorization.

101935434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210055 (or 210047 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 101935434420 in words is "one hundred one billion, nine hundred thirty-five million, four hundred thirty-four thousand, four hundred twenty".