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106030264437 = 33149263100213
BaseRepresentation
bin110001010111111100…
…1010111000001110101
3101010200102122111221000
41202233321113001311
53214122221430222
6120413140313513
710442346243246
oct1425771270165
9333612574830
10106030264437
1140a70358019
12186713a2899
139cc9c43956
1451bbcaaccd
152b5884e9ac
hex18afe57075

106030264437 has 32 divisors (see below), whose sum is σ = 158738976000. Its totient is φ = 69944769216.

The previous prime is 106030264399. The next prime is 106030264463. The reversal of 106030264437 is 734462030601.

It is a happy number.

106030264437 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 0 + 2 + 644 + 3 + 7 = 666.

It is not a de Polignac number, because 106030264437 - 27 = 106030264309 is a prime.

It is a super-2 number, since 2×1060302644372 (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 (106030664437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007943 + ... + 1108155.

It is an arithmetic number, because the mean of its divisors is an integer number (4960593000).

Almost surely, 2106030264437 is an apocalyptic number.

It is an amenable number.

106030264437 is a deficient number, since it is larger than the sum of its proper divisors (52708711563).

106030264437 is a wasteful number, since it uses less digits than its factorization.

106030264437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100634 (or 100628 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 106030264437 in words is "one hundred six billion, thirty million, two hundred sixty-four thousand, four hundred thirty-seven".

Divisors: 1 3 9 27 149 263 447 789 1341 2367 4023 7101 39187 100213 117561 300639 352683 901917 1058049 2705751 14931737 26356019 44795211 79068057 134385633 237204171 403156899 711612513 3927046831 11781140493 35343421479 106030264437