101909025 has 27 divisors (see below), whose sum is σ = 182802009. Its totient is φ = 54270720.

The previous prime is 101908969. The next prime is 101909029. The reversal of 101909025 is 520909101.

101909025 = T₂₇₃₄ + T₂₇₃₅ + ... + T₂₇₆₀.

It is a happy number.

The square root of 101909025 is 10095.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9979281 + 91929744 = 3159^2 + 9588^2 .

It is not a de Polignac number, because 101909025 - 2¹⁹ = 101384737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101909025.

It is not an unprimeable number, because it can be changed into a prime (101909029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151089 + ... + 151761.

Almost surely, 2^101909025 is an apocalyptic number.

101909025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101909025 is the 10095-th square number.

101909025 is the 5048-th centered octagonal number.

It is an amenable number.

101909025 is a deficient number, since it is larger than the sum of its proper divisors (80892984).

101909025 is an frugal number, since it uses more digits than its factorization.

101909025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The cubic root of 101909025 is about 467.0939213511.

The spelling of 101909025 in words is "one hundred one million, nine hundred nine thousand, twenty-five".