100001025 has 18 divisors (see below), whose sum is σ = 179113350. Its totient is φ = 53333760.

The previous prime is 100000969. The next prime is 100001029. The reversal of 100001025 is 520100001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8071281 + 91929744 = 2841^2 + 9588^2 .

It is not a de Polignac number, because 100001025 - 2¹⁷ = 99869953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

100001025 is a modest number, since divided by 1025 gives 1000 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000998 and 100001016.

It is not an unprimeable number, because it can be changed into a prime (100001029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222000 + ... + 222449.

Almost surely, 2^100001025 is an apocalyptic number.

100001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100001025 is a deficient number, since it is larger than the sum of its proper divisors (79112325).

100001025 is a wasteful number, since it uses less digits than its factorization.

100001025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444465 (or 444457 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 100001025 is about 10000.0512498687. The cubic root of 100001025 is about 464.1604692320.

Adding to 100001025 its reverse (520100001), we get a palindrome (620101026).

It can be divided in two parts, 10000 and 1025, that added together give a square (11025 = 105²).

The spelling of 100001025 in words is "one hundred million, one thousand, twenty-five".