10172100 has 72 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 2643200.

The previous prime is 10172093. The next prime is 10172143. The reversal of 10172100 is 127101.

10172100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11887 + ... + 12713.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 2^10172100 is an apocalyptic number.

10172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

10172100 is an abundant number, since it is smaller than the sum of its proper divisors (20013468).

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

10172100 is a wasteful number, since it uses less digits than its factorization.

10172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10172100 is about 3189.3729791293. The cubic root of 10172100 is about 216.6723732882.

Adding to 10172100 its reverse (127101), we get a palindrome (10299201).

The spelling of 10172100 in words is "ten million, one hundred seventy-two thousand, one hundred".