106041645541460 has 72 divisors (see below), whose sum is σ = 236564994049944. Its totient is φ = 39920255907840.

The previous prime is 106041645541459. The next prime is 106041645541483. The reversal of 106041645541460 is 64145546140601.

It can be written as a sum of positive squares in 12 ways, for example, as 22925384498116 + 83116261043344 = 4788046^2 + 9116812^2 .

It is a super-2 number, since 2×106041645541460² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186647342 + ... + 187214618.

Almost surely, 2^{106041645541460} is an apocalyptic number.

106041645541460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106041645541460 is an abundant number, since it is smaller than the sum of its proper divisors (130523348508484).

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

106041645541460 is a wasteful number, since it uses less digits than its factorization.

106041645541460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599661 (or 599642 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 106041645541460 in words is "one hundred six trillion, forty-one billion, six hundred forty-five million, five hundred forty-one thousand, four hundred sixty".