100540512 has 36 divisors (see below), whose sum is σ = 285912900. Its totient is φ = 33513408.

The previous prime is 100540483. The next prime is 100540537. The reversal of 100540512 is 215045001.

100540512 is a `hidden beast` number, since 100 + 54 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×100540512⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174262 + ... + 174837.

It is an arithmetic number, because the mean of its divisors is an integer number (7942025).

Almost surely, 2^100540512 is an apocalyptic number.

100540512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100540512 is an abundant number, since it is smaller than the sum of its proper divisors (185372388).

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

100540512 is a wasteful number, since it uses less digits than its factorization.

100540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349115 (or 349104 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100540512 is about 10026.9891792103. The cubic root of 100540512 is about 464.9936592961.

Adding to 100540512 its reverse (215045001), we get a palindrome (315585513).

The spelling of 100540512 in words is "one hundred million, five hundred forty thousand, five hundred twelve".