101837636145 has 144 divisors (see below), whose sum is σ = 220985797968. Its totient is φ = 43096596480.

The previous prime is 101837636143. The next prime is 101837636231. The reversal of 101837636145 is 541636738101.

101837636145 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 3 + 7 + 636 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2228595264 + 99609040881 = 47208^2 + 315609^2 .

It is not a de Polignac number, because 101837636145 - 2¹ = 101837636143 is a prime.

It is a super-2 number, since 2×101837636145² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101837636145.

It is not an unprimeable number, because it can be changed into a prime (101837636141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2264317 + ... + 2308853.

It is an arithmetic number, because the mean of its divisors is an integer number (1534623597).

Almost surely, 2^101837636145 is an apocalyptic number.

101837636145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101837636145 is an abundant number, since it is smaller than the sum of its proper divisors (119148161823).

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

101837636145 is a wasteful number, since it uses less digits than its factorization.

101837636145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44640 (or 44630 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 101837636145 in words is "one hundred one billion, eight hundred thirty-seven million, six hundred thirty-six thousand, one hundred forty-five".