106010146410 has 512 divisors, whose sum is σ = 328259174400. Its totient is φ = 21366374400.

The previous prime is 106010146409. The next prime is 106010146421. The reversal of 106010146410 is 14641010601.

It is a super-2 number, since 2×106010146410² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 549275274 + ... + 549275466.

It is an arithmetic number, because the mean of its divisors is an integer number (641131200).

Almost surely, 2^106010146410 is an apocalyptic number.

106010146410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010146410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164129587200).

106010146410 is an abundant number, since it is smaller than the sum of its proper divisors (222249027990).

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

106010146410 is a wasteful number, since it uses less digits than its factorization.

106010146410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 106010146410 in words is "one hundred six billion, ten million, one hundred forty-six thousand, four hundred ten".