55106733515100 has 288 divisors, whose sum is σ = 163890427008000. Its totient is φ = 14287652812800.

The previous prime is 55106733515077. The next prime is 55106733515149. The reversal of 55106733515100 is 151533760155.

It is a super-3 number, since 3×55106733515100³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15277717497 + ... + 15277721103.

Almost surely, 2^{55106733515100} is an apocalyptic number.

55106733515100 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 55106733515100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81945213504000).

55106733515100 is an abundant number, since it is smaller than the sum of its proper divisors (108783693492900).

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

55106733515100 is a wasteful number, since it uses less digits than its factorization.

55106733515100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 42.

The spelling of 55106733515100 in words is "fifty-five trillion, one hundred six billion, seven hundred thirty-three million, five hundred fifteen thousand, one hundred".