101354055432 has 128 divisors (see below), whose sum is σ = 294102067200. Its totient is φ = 28506981888.

The previous prime is 101354055401. The next prime is 101354055443. The reversal of 101354055432 is 234550453101.

It is a junction number, because it is equal to n+sod(n) for n = 101354055393 and 101354055402.

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, 30535869 + ... + 30539187.

It is an arithmetic number, because the mean of its divisors is an integer number (2297672400).

Almost surely, 2^101354055432 is an apocalyptic number.

101354055432 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 101354055432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147051033600).

101354055432 is an abundant number, since it is smaller than the sum of its proper divisors (192748011768).

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

101354055432 is a wasteful number, since it uses less digits than its factorization.

101354055432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 101354055432 in words is "one hundred one billion, three hundred fifty-four million, fifty-five thousand, four hundred thirty-two".