101054240145 has 64 divisors (see below), whose sum is σ = 187691212800. Its totient is φ = 51489535680.

The previous prime is 101054240113. The next prime is 101054240171. The reversal of 101054240145 is 541042450101.

101054240145 is a `hidden beast` number, since 101 + 0 + 542 + 4 + 0 + 14 + 5 = 666.

It is not a de Polignac number, because 101054240145 - 2⁵ = 101054240113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2585700 + ... + 2624490.

It is an arithmetic number, because the mean of its divisors is an integer number (2932675200).

Almost surely, 2^101054240145 is an apocalyptic number.

101054240145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101054240145 is a deficient number, since it is larger than the sum of its proper divisors (86636972655).

101054240145 is a wasteful number, since it uses less digits than its factorization.

101054240145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39667 (or 39661 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 101054240145 its reverse (541042450101), we get a palindrome (642096690246).

The spelling of 101054240145 in words is "one hundred one billion, fifty-four million, two hundred forty thousand, one hundred forty-five".