106000551010600 has 96 divisors (see below), whose sum is σ = 247443782227200. Its totient is φ = 42229688198400.

The previous prime is 106000551010577. The next prime is 106000551010621. The reversal of 106000551010600 is 6010155000601.

It is a super-2 number, since 2×106000551010600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76252561 + ... + 77630239.

It is an arithmetic number, because the mean of its divisors is an integer number (2577539398200).

Almost surely, 2^{106000551010600} is an apocalyptic number.

106000551010600 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 106000551010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721891113600).

106000551010600 is an abundant number, since it is smaller than the sum of its proper divisors (141443231216600).

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

106000551010600 is a wasteful number, since it uses less digits than its factorization.

106000551010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379243 (or 1379234 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 106000551010600 in words is "one hundred six trillion, five hundred fifty-one million, ten thousand, six hundred".