106005110051040 has 48 divisors (see below), whose sum is σ = 333916096662288. Its totient is φ = 28268029346816.

The previous prime is 106005110051033. The next prime is 106005110051053. The reversal of 106005110051040 is 40150011500601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106005110051040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106005110051040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110421989157 + ... + 110421990116.

It is an arithmetic number, because the mean of its divisors is an integer number (6956585347131).

Almost surely, 2^{106005110051040} is an apocalyptic number.

106005110051040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005110051040 is an abundant number, since it is smaller than the sum of its proper divisors (227910986611248).

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

106005110051040 is a wasteful number, since it uses less digits than its factorization.

106005110051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220843979291 (or 220843979283 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 106005110051040 its reverse (40150011500601), we get a palindrome (146155121551641).

The spelling of 106005110051040 in words is "one hundred six trillion, five billion, one hundred ten million, fifty-one thousand, forty".