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99102025 = 521121812
BaseRepresentation
bin1011110100000…
…10110101001001
320220110220102101
411322002311021
5200332231100
613500033401
72312232121
oct572026511
9226426371
1099102025
1150a38900
1229232861
13176bab69
14d239c81
158a7886a
hex5e82d49

99102025 has 27 divisors (see below), whose sum is σ = 135823989. Its totient is φ = 71676000.

The previous prime is 99102007. The next prime is 99102041. The reversal of 99102025 is 52020199.

The square root of 99102025 is 9955.

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 53187849 + 45914176 = 7293^2 + 6776^2 .

It is not a de Polignac number, because 99102025 - 211 = 99099977 is a prime.

It is a super-2 number, since 2×991020252 = 19642422718201250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99101984 and 99102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 547435 + ... + 547615.

Almost surely, 299102025 is an apocalyptic number.

99102025 is the 9955-th square number.

99102025 is the 4978-th centered octagonal number.

It is an amenable number.

99102025 is a deficient number, since it is larger than the sum of its proper divisors (36721964).

99102025 is a wasteful number, since it uses less digits than its factorization.

99102025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 99102025 is about 462.7653602595.

The spelling of 99102025 in words is "ninety-nine million, one hundred two thousand, twenty-five".

Divisors: 1 5 11 25 55 121 181 275 605 905 1991 3025 4525 9955 21901 32761 49775 109505 163805 360371 547525 819025 1801855 3964081 9009275 19820405 99102025