106051110100 has 72 divisors (see below), whose sum is σ = 248862375608. Its totient is φ = 38994739200.

The previous prime is 106051110079. The next prime is 106051110101. The reversal of 106051110100 is 1011150601.

It can be written as a sum of positive squares in 12 ways, for example, as 60144619536 + 45906490564 = 245244^2 + 214258^2 .

It is a super-2 number, since 2×106051110100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106051110101) 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, 144052 + ... + 482548.

Almost surely, 2^106051110100 is an apocalyptic number.

106051110100 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 106051110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431187804).

106051110100 is an abundant number, since it is smaller than the sum of its proper divisors (142811265508).

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

106051110100 is a wasteful number, since it uses less digits than its factorization.

106051110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338765 (or 338758 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 106051110100 its reverse (1011150601), we get a palindrome (107062260701).

The spelling of 106051110100 in words is "one hundred six billion, fifty-one million, one hundred ten thousand, one hundred".