100106110050960 has 320 divisors, whose sum is σ = 354377468890368. Its totient is φ = 23158039314432.

The previous prime is 100106110050937. The next prime is 100106110050983. The reversal of 100106110050960 is 69050011601001.

It is an interprime number because it is at equal distance from previous prime (100106110050937) and next prime (100106110050983).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34844644 + ... + 37607996.

Almost surely, 2^{100106110050960} is an apocalyptic number.

100106110050960 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 100106110050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177188734445184).

100106110050960 is an abundant number, since it is smaller than the sum of its proper divisors (254271358839408).

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

100106110050960 is a wasteful number, since it uses less digits than its factorization.

100106110050960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764082 (or 2764076 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

Adding to 100106110050960 its reverse (69050011601001), we get a palindrome (169156121651961).

The spelling of 100106110050960 in words is "one hundred trillion, one hundred six billion, one hundred ten million, fifty thousand, nine hundred sixty".