10000106055100 has 72 divisors (see below), whose sum is σ = 24841121177600. Its totient is φ = 3422959197120.

The previous prime is 10000106055097. The next prime is 10000106055103. The reversal of 10000106055100 is 155060100001.

It is an interprime number because it is at equal distance from previous prime (10000106055097) and next prime (10000106055103).

It is a super-2 number, since 2×10000106055100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000106055103) 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, 11342700 + ... + 12192499.

Almost surely, 2^{10000106055100} is an apocalyptic number.

10000106055100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000106055100 is an abundant number, since it is smaller than the sum of its proper divisors (14841015122500).

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

10000106055100 is a wasteful number, since it uses less digits than its factorization.

10000106055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23535827 (or 23535820 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10000106055100 its reverse (155060100001), we get a palindrome (10155166155101).

The spelling of 10000106055100 in words is "ten trillion, one hundred six million, fifty-five thousand, one hundred".