100006572 has 24 divisors (see below), whose sum is σ = 237175792. Its totient is φ = 32788800.

The previous prime is 100006567. The next prime is 100006583. The reversal of 100006572 is 275600001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67579 + ... + 69042.

Almost surely, 2^100006572 is an apocalyptic number.

100006572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100006572 is an abundant number, since it is smaller than the sum of its proper divisors (137169220).

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

100006572 is a wasteful number, since it uses less digits than its factorization.

100006572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136689 (or 136687 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 100006572 is about 10000.3285946013. The cubic root of 100006572 is about 464.1690513125.

Adding to 100006572 its reverse (275600001), we get a palindrome (375606573).

The spelling of 100006572 in words is "one hundred million, six thousand, five hundred seventy-two".