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106445120 = 265332641
BaseRepresentation
bin1100101100000…
…11100101000000
321102021222020212
412112003211000
5204222220440
614321253252
72431524425
oct626034500
9242258225
10106445120
11550a3881
122b794228
131908c2a2
14101cbd4c
159529465
hex6583940

106445120 has 28 divisors (see below), whose sum is σ = 253473204. Its totient is φ = 42577920.

The previous prime is 106445099. The next prime is 106445123. The reversal of 106445120 is 21544601.

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 75620416 = 5552^2 + 8696^2 .

It is a super-2 number, since 2×1064451202 = 22661127143628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106445123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166001 + ... + 166640.

Almost surely, 2106445120 is an apocalyptic number.

106445120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106445120 is an abundant number, since it is smaller than the sum of its proper divisors (147028084).

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

106445120 is an equidigital number, since it uses as much as digits as its factorization.

106445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332658 (or 332648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 106445120 is about 10317.2244329568. The cubic root of 106445120 is about 473.9238722417.

Adding to 106445120 its reverse (21544601), we get a palindrome (127989721).

The spelling of 106445120 in words is "one hundred six million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 332641 665282 1330564 1663205 2661128 3326410 5322256 6652820 10644512 13305640 21289024 26611280 53222560 106445120