105036771840 has 960 divisors, whose sum is σ = 453758671872. Its totient is φ = 20127744000.

The previous prime is 105036771823. The next prime is 105036771859. The reversal of 105036771840 is 48177630501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105036771840² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105036771792 and 105036771801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99939315 + ... + 99940365.

Almost surely, 2^105036771840 is an apocalyptic number.

105036771840 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 105036771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226879335936).

105036771840 is an abundant number, since it is smaller than the sum of its proper divisors (348721900032).

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

105036771840 is a wasteful number, since it uses less digits than its factorization.

105036771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 105036771840 in words is "one hundred five billion, thirty-six million, seven hundred seventy-one thousand, eight hundred forty".