10105061100500 has 96 divisors (see below), whose sum is σ = 22277180260608. Its totient is φ = 4004134992000.

The previous prime is 10105061100499. The next prime is 10105061100523. The reversal of 10105061100500 is 500116050101.

It is a super-2 number, since 2×10105061100500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 25789049 + ... + 26177951.

It is an arithmetic number, because the mean of its divisors is an integer number (232053961048).

Almost surely, 2^{10105061100500} is an apocalyptic number.

10105061100500 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 10105061100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138590130304).

10105061100500 is an abundant number, since it is smaller than the sum of its proper divisors (12172119160108).

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

10105061100500 is a wasteful number, since it uses less digits than its factorization.

10105061100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389410 (or 389398 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10105061100500 its reverse (500116050101), we get a palindrome (10605177150601).

The spelling of 10105061100500 in words is "ten trillion, one hundred five billion, sixty-one million, one hundred thousand, five hundred".