51233430600100 has 144 divisors (see below), whose sum is σ = 127322500838400. Its totient is φ = 17529340561920.

The previous prime is 51233430600041. The next prime is 51233430600109. The reversal of 51233430600100 is 100603433215.

It is a super-2 number, since 2×51233430600100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (51233430600109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738316206 + ... + 738385594.

It is an arithmetic number, because the mean of its divisors is an integer number (884184033600).

Almost surely, 2^{51233430600100} is an apocalyptic number.

51233430600100 is a gapful number since it is divisible by the number (50) 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 51233430600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63661250419200).

51233430600100 is an abundant number, since it is smaller than the sum of its proper divisors (76089070238300).

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

51233430600100 is a wasteful number, since it uses less digits than its factorization.

51233430600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71582 (or 71575 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 51233430600100 in words is "fifty-one trillion, two hundred thirty-three billion, four hundred thirty million, six hundred thousand, one hundred".