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106455564501 = 31113248148169
BaseRepresentation
bin110001100100100111…
…1110000000011010101
3101011210001220222221020
41203021033300003111
53221010111031001
6120523252111353
710456032240156
oct1431117600325
9334701828836
10106455564501
1141169433280
121876b905559
13a0670a2bb0
14521c57992d
152b80d5e736
hex18c93f00d5

106455564501 has 16 divisors (see below), whose sum is σ = 166755570240. Its totient is φ = 59555560320.

The previous prime is 106455564487. The next prime is 106455564511. The reversal of 106455564501 is 105465554601.

It is not a de Polignac number, because 106455564501 - 217 = 106455433429 is a prime.

It is a super-2 number, since 2×1064555645012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106455564511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124073656 + ... + 124074513.

It is an arithmetic number, because the mean of its divisors is an integer number (10422223140).

Almost surely, 2106455564501 is an apocalyptic number.

106455564501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106455564501 is a deficient number, since it is larger than the sum of its proper divisors (60300005739).

106455564501 is a wasteful number, since it uses less digits than its factorization.

106455564501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248148196.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 106455564501 in words is "one hundred six billion, four hundred fifty-five million, five hundred sixty-four thousand, five hundred one".

Divisors: 1 3 11 13 33 39 143 429 248148169 744444507 2729629859 3225926197 8188889577 9677778591 35485188167 106455564501