106653251100 has 288 divisors, whose sum is σ = 347373766656. Its totient is φ = 25037337600.

The previous prime is 106653251059. The next prime is 106653251179. The reversal of 106653251100 is 1152356601.

It is a super-3 number, since 3×106653251100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27226342 + ... + 27230258.

It is an arithmetic number, because the mean of its divisors is an integer number (1206158912).

Almost surely, 2^106653251100 is an apocalyptic number.

106653251100 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 106653251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173686883328).

106653251100 is an abundant number, since it is smaller than the sum of its proper divisors (240720515556).

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

106653251100 is a wasteful number, since it uses less digits than its factorization.

106653251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

It can be divided in two parts, 106653 and 251100, that added together give a palindrome (357753).

The spelling of 106653251100 in words is "one hundred six billion, six hundred fifty-three million, two hundred fifty-one thousand, one hundred".