100016772 has 24 divisors (see below), whose sum is σ = 239680896. Its totient is φ = 32437728.

The previous prime is 100016771. The next prime is 100016773. The reversal of 100016772 is 277610001.

It is an interprime number because it is at equal distance from previous prime (100016771) and next prime (100016773).

It is not an unprimeable number, because it can be changed into a prime (100016771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112188 + ... + 113075.

It is an arithmetic number, because the mean of its divisors is an integer number (9986704).

Almost surely, 2^100016772 is an apocalyptic number.

100016772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100016772 is an abundant number, since it is smaller than the sum of its proper divisors (139664124).

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

100016772 is a wasteful number, since it uses less digits than its factorization.

100016772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225307 (or 225305 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 100016772 is about 10000.8385648405. The cubic root of 100016772 is about 464.1848314866.

Adding to 100016772 its reverse (277610001), we get a palindrome (377626773).

The spelling of 100016772 in words is "one hundred million, sixteen thousand, seven hundred seventy-two".