10105202124 has 36 divisors (see below), whose sum is σ = 25633991656. Its totient is φ = 3356494848.

The previous prime is 10105202119. The next prime is 10105202137. The reversal of 10105202124 is 42120250101.

10105202124 is a `hidden beast` number, since 10 + 10 + 520 + 2 + 124 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10105202124² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10105202097 and 10105202106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485749 + ... + 506124.

Almost surely, 2^10105202124 is an apocalyptic number.

It is an amenable number.

10105202124 is an abundant number, since it is smaller than the sum of its proper divisors (15528789532).

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

10105202124 is a wasteful number, since it uses less digits than its factorization.

10105202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992166 (or 992161 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10105202124 its reverse (42120250101), we get a palindrome (52225452225).

The spelling of 10105202124 in words is "ten billion, one hundred five million, two hundred two thousand, one hundred twenty-four".