105136039680 has 288 divisors, whose sum is σ = 400433531904. Its totient is φ = 22986129408.

The previous prime is 105136039669. The next prime is 105136039753. The reversal of 105136039680 is 86930631501.

It is a happy number.

It is a super-2 number, since 2×105136039680² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 533212 + ... + 703268.

It is an arithmetic number, because the mean of its divisors is an integer number (1390394208).

Almost surely, 2^105136039680 is an apocalyptic number.

105136039680 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 105136039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200216765952).

105136039680 is an abundant number, since it is smaller than the sum of its proper divisors (295297492224).

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

105136039680 is a wasteful number, since it uses less digits than its factorization.

105136039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170111 (or 170097 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 105136039680 in words is "one hundred five billion, one hundred thirty-six million, thirty-nine thousand, six hundred eighty".