106010105011104 has 192 divisors, whose sum is σ = 333363601105920. Its totient is φ = 28862648801280.

The previous prime is 106010105011099. The next prime is 106010105011127. The reversal of 106010105011104 is 401110501010601.

It is a super-2 number, since 2×106010105011104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 43555234 + ... + 45924705.

It is an arithmetic number, because the mean of its divisors is an integer number (1736268755760).

Almost surely, 2^{106010105011104} is an apocalyptic number.

106010105011104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106010105011104 is an abundant number, since it is smaller than the sum of its proper divisors (227353496094816).

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

106010105011104 is a wasteful number, since it uses less digits than its factorization.

106010105011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89480043 (or 89480035 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 106010105011104 its reverse (401110501010601), we get a palindrome (507120606021705).

The spelling of 106010105011104 in words is "one hundred six trillion, ten billion, one hundred five million, eleven thousand, one hundred four".