105269658020 has 48 divisors (see below), whose sum is σ = 228300054528. Its totient is φ = 40731223680.

The previous prime is 105269657981. The next prime is 105269658029. The reversal of 105269658020 is 20856962501.

It is a super-2 number, since 2×105269658020² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105269658029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384637 + ... + 1458683.

It is an arithmetic number, because the mean of its divisors is an integer number (4756251136).

Almost surely, 2^105269658020 is an apocalyptic number.

105269658020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105269658020 is an abundant number, since it is smaller than the sum of its proper divisors (123030396508).

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

105269658020 is a wasteful number, since it uses less digits than its factorization.

105269658020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76380 (or 76378 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 105269658020 in words is "one hundred five billion, two hundred sixty-nine million, six hundred fifty-eight thousand, twenty".