106110051000 has 128 divisors (see below), whose sum is σ = 333994190400. Its totient is φ = 28045516800.

The previous prime is 106110050987. The next prime is 106110051011. The reversal of 106110051000 is 150011601.

It is a super-2 number, since 2×106110051000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182496 + ... + 495504.

Almost surely, 2^106110051000 is an apocalyptic number.

106110051000 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 106110051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166997095200).

106110051000 is an abundant number, since it is smaller than the sum of its proper divisors (227884139400).

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

106110051000 is a wasteful number, since it uses less digits than its factorization.

106110051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313146 (or 313132 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 106110051000 its reverse (150011601), we get a palindrome (106260062601).

The spelling of 106110051000 in words is "one hundred six billion, one hundred ten million, fifty-one thousand".