101145537 has 16 divisors (see below), whose sum is σ = 150002560. Its totient is φ = 67359600.

The previous prime is 101145511. The next prime is 101145547. The reversal of 101145537 is 735541101.

101145537 is a `hidden beast` number, since 10 + 114 + 5 + 537 = 666.

It is not a de Polignac number, because 101145537 - 2²⁴ = 84368321 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101145537.

It is not an unprimeable number, because it can be changed into a prime (101145547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42612 + ... + 44922.

It is an arithmetic number, because the mean of its divisors is an integer number (9375160).

Almost surely, 2^101145537 is an apocalyptic number.

It is an amenable number.

101145537 is a deficient number, since it is larger than the sum of its proper divisors (48857023).

101145537 is a wasteful number, since it uses less digits than its factorization.

101145537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 101145537 is about 10057.1137509725. The cubic root of 101145537 is about 465.9245289678.

Adding to 101145537 its reverse (735541101), we get a palindrome (836686638).

It can be divided in two parts, 10114 and 5537, that added together give a palindrome (15651).

The spelling of 101145537 in words is "one hundred one million, one hundred forty-five thousand, five hundred thirty-seven".