1006100500632 has 64 divisors (see below), whose sum is σ = 2663487187200. Its totient is φ = 315813432960.

The previous prime is 1006100500591. The next prime is 1006100500637. The reversal of 1006100500632 is 2360050016001.

It is a super-2 number, since 2×1006100500632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006100500637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6529719 + ... + 6682022.

It is an arithmetic number, because the mean of its divisors is an integer number (41616987300).

Almost surely, 2^{1006100500632} is an apocalyptic number.

1006100500632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006100500632 is an abundant number, since it is smaller than the sum of its proper divisors (1657386686568).

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

1006100500632 is a wasteful number, since it uses less digits than its factorization.

1006100500632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211936 (or 13211932 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1006100500632 its reverse (2360050016001), we get a palindrome (3366150516633).

The spelling of 1006100500632 in words is "one trillion, six billion, one hundred million, five hundred thousand, six hundred thirty-two".