106010555600 has 120 divisors (see below), whose sum is σ = 264036672000. Its totient is φ = 40854392320.

The previous prime is 106010555597. The next prime is 106010555603. The reversal of 106010555600 is 6555010601.

It is an interprime number because it is at equal distance from previous prime (106010555597) and next prime (106010555603).

It is a super-2 number, since 2×106010555600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010555603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5546861 + ... + 5565939.

It is an arithmetic number, because the mean of its divisors is an integer number (2200305600).

Almost surely, 2^106010555600 is an apocalyptic number.

106010555600 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 106010555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132018336000).

106010555600 is an abundant number, since it is smaller than the sum of its proper divisors (158026116400).

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

106010555600 is a wasteful number, since it uses less digits than its factorization.

106010555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19605 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 106010555600 in words is "one hundred six billion, ten million, five hundred fifty-five thousand, six hundred".